{"id":824,"date":"2021-06-18T11:55:17","date_gmt":"2021-06-18T09:55:17","guid":{"rendered":"https:\/\/blogs.ugr.es\/mruizg\/?page_id=824"},"modified":"2024-05-02T18:46:36","modified_gmt":"2024-05-02T16:46:36","slug":"publications","status":"publish","type":"page","link":"https:\/\/blogs.ugr.es\/mruizg\/en\/research\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p id=\"tw-target-text\" class=\"tw-data-text tw-text-large XcVN5d tw-ta\" dir=\"ltr\" data-placeholder=\"Traducci\u00f3n\"><span class=\"Y2IQFc\" lang=\"en\">My most important publications are listed below. Links to them are included, although they can also be accessed through the databases<\/span><\/p>\n<p><a href=\"https:\/\/www.scopus.com\/authid\/detail.uri?origin=resultslist&amp;authorId=7005984123&amp;zone=\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-278\" src=\"https:\/\/blogs.ugr.es\/mruizg\/wp-content\/uploads\/sites\/13\/2018\/01\/scopus-300x86.png\" alt=\"\" width=\"115\" height=\"33\" srcset=\"https:\/\/blogs.ugr.es\/mruizg\/wp-content\/uploads\/sites\/13\/2018\/01\/scopus-300x86.png 300w, https:\/\/blogs.ugr.es\/mruizg\/wp-content\/uploads\/sites\/13\/2018\/01\/scopus.png 390w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><\/a> \u00a0\u00a0\u00a0<a href=\"https:\/\/mathscinet.ams.org\/mathscinet\/search\/publications.html?pg1=INDI&amp;s1=637178\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-276\" src=\"https:\/\/blogs.ugr.es\/mruizg\/wp-content\/uploads\/sites\/13\/2018\/01\/mathscinet-300x44.png\" alt=\"\" width=\"273\" height=\"40\" srcset=\"https:\/\/blogs.ugr.es\/mruizg\/wp-content\/uploads\/sites\/13\/2018\/01\/mathscinet-300x44.png 300w, https:\/\/blogs.ugr.es\/mruizg\/wp-content\/uploads\/sites\/13\/2018\/01\/mathscinet.png 377w\" sizes=\"auto, (max-width: 273px) 100vw, 273px\" \/><\/a><\/p>\n<h6>2024<\/h6>\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution<\/em>, Math. Comput. Simulation 223 (2024), 394<span class=\"title-text\"><span class=\"title\"><span class=\"Highlight-module__1p2SO\">\u2014<\/span><\/span><\/span>404. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0378475424001472\" target=\"_blank\" rel=\"noopener\">ARTICLE (open access)<\/a><\/li>\n<li>M.I. Berenguer, M. Ruiz Gal\u00e1n, <span class=\"title-text\"><em>Iterative schemes for linear equations of the second kind and related inverse problems<\/em>, <span class=\"title\">Appl. Numer. Math. 200 (2024), 110<span class=\"Highlight-module__1p2SO\">\u2014<\/span>123<\/span>.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0168927423002015\" target=\"_blank\" rel=\"noopener\">ARTICLE (open access)<\/a><\/span><\/li>\n<\/ul>\n<h6>2023<\/h6>\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Solving inverse problems for mixed-variational equations on perforated domains<\/em>, Comp. Appl. Math. 42 (2023), Art. ID 297. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40314-023-02434-3\" target=\"_blank\" rel=\"noopener\">ARTICLE (open access)<\/a><\/li>\n<li>M.I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <em>A discrete chacterization of the solvability of equilibrium problems and its application to game theory, <\/em>Axioms 12 (2023), Art. ID 666. <a href=\"https:\/\/www.mdpi.com\/2075-1680\/12\/7\/666\" target=\"_blank\" rel=\"noopener\">ARTICLE (open access)<\/a><\/li>\n<li>M.I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <em>A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics<\/em>, Fuzzy Sets and Systems 473 (2023), Art. ID\u00a0108727. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S016501142300372X#se0030\" target=\"_blank\" rel=\"noopener\">ARTICLE (open access)<\/a><span class=\"title-text\"><br \/>\n<\/span><\/li>\n<li>H. Kunze, D. La Torre, A. Riccoboni, M. Ruiz Gal\u00e1n (Eds.), <em>Engineering mathematics and artificial intelligence. Foundations, methods, and applications <\/em>(1st ed.), CRC Press, Taylor &amp; Francis Group, Boca Raton, 2023<em>.<\/em> <a href=\"https:\/\/www.taylorfrancis.com\/books\/edit\/10.1201\/9781003283980\/engineering-mathematics-artificial-intelligence-herb-kunze-davide-la-torre-manuel-ruiz-gal%C3%A1n-adam-riccoboni\" target=\"_blank\" rel=\"noopener\">BOOK<\/a><\/li>\n<\/ul>\n<h6>2022<\/h6>\n<ul>\n<li>M.I. Berenguer, M. Ruiz Gal\u00e1n, <em>An iterative algorithm for approximating the fixed point of a contractive affine operator<\/em>, Mathematics 10 (2022), Art. ID 1012. <a href=\"https:\/\/www.mdpi.com\/2227-7390\/10\/7\/1012\" target=\"_blank\" rel=\"noopener\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2021<\/h6>\n<ul>\n<li>A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <span class=\"Highlight-module__1p2SO\"><em>A computational study for solving inverse problems for mixed variational equations on perforated domains<\/em>, Recent Developments in Mathematical, Statistical and Computational Sciences, 277\u2014287, Springer Proceedings in Mathematics &amp; Statistics 343, Springer, Cham, 2021. <a href=\"https:\/\/link.springer.com\/chapter\/10.1007%2F978-3-030-63591-6_26\" target=\"_blank\" rel=\"noopener\">CHAPTER<\/a><br \/>\n<\/span><\/li>\n<li>K. Kunze, D. La Torre, M. Ruiz Gal\u00e1n,\u00a0<em>Optimization methods in inverse problems and applications to science and<\/em> <em>engineering<\/em>, Optim. Eng. 22 (2021), 2151<span class=\"Highlight-module__1p2SO\">\u2014<\/span>2158. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11081-021-09688-y\" target=\"_blank\" rel=\"noopener\">EDITORIAL (open access)<\/a><\/li>\n<li>S. Triberti, I. Durosini, J. Lin, D. La Torre, M. Ruiz Gal\u00e1n,\u00a0<em>On the \u00abHuman\u00bb in Human-Artificial Intelligence Interaction, <\/em>Front. Psychol. <span class=\"volumeInfo\">12 (2021).\u00a0<a href=\"https:\/\/www.frontiersin.org\/articles\/10.3389\/fpsyg.2021.808995\/full\" target=\"_blank\" rel=\"noopener\">EDITORIAL (open access)<\/a><\/span><\/li>\n<\/ul>\n<h6>2020<\/h6>\n<ul>\n<li>M. Arana-Jim\u00e9nez, M.I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <em> A perturbed collage theorem and its application to inverse interval integral problems<\/em>, Comm. Nonlinear Sci. Numer. Simul. 90 (2020), Art. ID 105365. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1007570420301970\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M.I. Berenguer, D. G\u00e1mez, A.I. Garrralda-Guillem, M. Ruiz Gal\u00e1n, <em>Minimax inequalities and variational equations,<\/em> Optimization of complex systems: theory, models, algorithms and applications, 518<span class=\"Highlight-module__1p2SO\">\u2014<\/span>525, Advances in Intelligent Systems and Computing 991, Springer, Cham, 2020. <a href=\"https:\/\/link.springer.com\/chapter\/10.1007%2F978-3-030-21803-4_52\" target=\"_blank\" rel=\"noopener noreferrer\">CHAPTER<\/a><\/li>\n<li>A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em><span class=\"title-text\">Using the generalized collage theorem for estimating unknown parameters in perturbed mixed variational equations,<\/span><\/em> <span class=\"title-text\">Comm. Nonlinear Sci. Numer. Simul. 91 (2020), Art. ID 105433. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1007570420302641\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/span><\/li>\n<\/ul>\n<h6>2019<\/h6>\n<ul>\n<li>A.I. Garrralda-Guillem, M. Ruiz Gal\u00e1n,\u00a0<em>A minimax approach for the study of systems of variational equations and related Galerkin schemes,<\/em> J. Comput. Appl. Math. 354 (2019), 103<span class=\"Highlight-module__1p2SO\">\u2014<\/span>111. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042718302772\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>P. Montiel L\u00f3pez, M. Ruiz Gal\u00e1n,\u00a0<em>Infinite programming and theorems of the alternative<\/em>, <span class=\"current-selection\">Math. Meth. Appl. Sci. 42 (<\/span><span class=\"current-selection\">2019), 5769<span class=\"Highlight-module__1p2SO\">\u2014<\/span>5778.<\/span> <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/mma.5566\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <em>Minimax inequalities and optimization,<\/em> Bol. Estad. Investig. Oper. 35 (2019), 198<span class=\"Highlight-module__1p2SO\">\u2014<\/span>214. <a href=\"https:\/\/www.seio.es\/beio\/BEIOVol35Num3.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2018<\/h6>\n<ul>\n<li><span class=\"title\">H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Using the collage method to solve inverse problems for vector-valued variational problems on a perforated domain in reflexive Banach spaces<\/em><\/span><em>, <\/em>Recent Advances in Mathematical and Statistical Methods, 105<span class=\"Highlight-module__1p2SO\">\u2014<\/span>114, Springer Proc. Math. Stat. 259, Springer, New York,<span id=\"journalInfo\" class=\"list-group-item\"> 2018. <a href=\"https:\/\/www.springerprofessional.de\/en\/using-the-collage-method-to-solve-inverse-problems-for-vector-va\/16249722#pay-wall\" target=\"_blank\" rel=\"noopener noreferrer\">CHAPTER<\/a><\/span><\/li>\n<li><span class=\"title\">M. Ruiz Gal\u00e1n, <em>Elementary convex techniques for equilibrium, minimax and variational problems,<\/em> Optim. Lett.<strong>\u00a0<\/strong>12 (2018),\u00a0<\/span>137\u2013154. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11590-017-1124-y\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <em>Minimax inequalities in the absence of topological assumptions,<\/em> Minimax Theory Appl. 3 (2018), 81\u201390. <a href=\"https:\/\/www.heldermann.de\/MTA\/MTA03\/MTA031\/mta03007.htm\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2017<\/h6>\n<ul>\n<li>P. Montiel L\u00f3pez, M. Ruiz Gal\u00e1n,<em>\u00a0<\/em><span class=\"title\"><em>Revisiting the Hahn\u2013Banach theorem and nonlinear infinite programming, <\/em>J. Math. Anal. Appl. 455 (2017),<\/span>\u00a01037\u20131050. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X17305577\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li><span class=\"title\">M. Ruiz Gal\u00e1n, <em>A theorem of the alternative with an arbitrary number of inequalities and quadratic programming,<\/em>\u00a0J. Global Optim. 69 (2017),\u00a0<\/span>427\u2013442. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10898-017-0525-x\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2016<\/h6>\n<ul>\n<li>M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Galerkin method for constrained variational equations and a collage-based approach to related inverse problems<\/em>, J. Comput. Appl. Math. 292 (2016), 67\u201375. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042715003386\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li><span class=\"title\">P. Montiel L\u00f3pez, M. Ruiz Gal\u00e1n, <em>Nonlinear programming via K\u00f6nig&#8217;s maximum theorem,<\/em> J<em>. <\/em>Optim. Theory Appl<\/span>. 170 (2016), 838\u2013852. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10957-016-0959-1\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <em>A concave-convex Ky Fan minimax inequality<\/em>, Minimax Theory Appl. 1 (2016), 111\u2013124. <a href=\"https:\/\/www.heldermann.de\/MTA\/MTA01\/MTA011\/mta01007.htm\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <span class=\"title\"><em>A sharp Lagrange multiplier theorem for nonlinear programs<\/em>, J. Global Optim. 65 (2016), <\/span>513\u2013530. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10898-015-0379-z\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, The Gordan theorem and its implications for minimax theory, J. Nonlinear Convex Anal. 17 (2016), 2385\u20132405. <a href=\"http:\/\/www.yokohamapublishers.jp\/online2\/jncav17n12.html\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2015<\/h6>\n<ul>\n<li><span class=\"title\">M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Galerkin schemes and inverse boundary value problems in reflexive Banach spaces<\/em>, J. Comput. Appl. Math. 275 (2015), <\/span>100\u2013112. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042714003604\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li><span class=\"title\">M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n,<\/span> <em>Set-valued nonlinear Fredholm interal equations: direct and inverse problem, <\/em>Interdisciplinary topics in applied mathematics, modeling and computational science, 65-71, Springer Proc. Math. Stat. 117, Springer, New York,<span id=\"journalInfo\" class=\"list-group-item\"> 2015. <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-319-12307-3_10\" target=\"_blank\" rel=\"noopener noreferrer\">CHAPTER<\/a><br \/>\n<\/span><\/li>\n<li>H. Kunze, D. La Torre, K. Levere, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Inverse problems via the \u00abgeneralized collage theorem\u00bb for vector-valued Lax-Milgram-based variational problems<\/em>, Math. Probl. Eng. 2015 (2015), <\/span>Art. ID 764643. <a href=\"https:\/\/www.hindawi.com\/journals\/mpe\/2015\/764643\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li><span class=\"articleHeader__authors_author\">H. Kunze, D. La Torre, <\/span><span class=\"articleHeader__authors_author\">F. Mendivil, <\/span><span class=\"articleHeader__authors_author\">M. Ruiz Gal\u00e1n, R.<\/span><span class=\"articleHeader__authors_author\"><span class=\"articleHeader__authors_author\"> Zaki, <em>Inverse Problems: Theory and Application to Science and Engineering, <span class=\"title\">Math. Probl. Eng. 2015 (2015),<\/span><\/em> <span class=\"title\">Art. ID <\/span><span class=\"title\">796094 and <em>2014 (2014), <\/em>Art. ID 497413. <a href=\"https:\/\/www.hindawi.com\/journals\/mpe\/2015\/796094\/\" target=\"_blank\" rel=\"noopener\">EDITORIAL 1 (open access)<\/a>,\u00a0<a href=\"https:\/\/www.hindawi.com\/journals\/mpe\/si\/956971\/\" target=\"_blank\" rel=\"noopener\">EDITORIAL 2 (open access)<\/a><\/span><\/span><\/span><\/li>\n<\/ul>\n<h6>2014<\/h6>\n<ul>\n<li class=\"title\">A.I. Garralda-Guillem, G.N. Gatica, A. M\u00e1rquez, M. Ruiz Gal\u00e1n, <span class=\"title\"><em><span class=\"it\">A posteriori<\/span> error analysis of twofold saddle point variational formulations for nonlinear boundary value problems<\/em>, IMA J. Numer. Anal. 34 (2014), <\/span>326\u2013361. <a href=\"https:\/\/academic.oup.com\/imajna\/article\/34\/1\/326\/670566\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Mixed variational formulations in locally convex spaces<\/em>, J. Math. Anal. Appl. 414 (2014), <\/span>825\u2013849. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X14000493\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>H. Kunze, D. La Torre, F. Mendivil, M. Ruiz Gal\u00e1n, R. Zaki, <span class=\"title\"><em>Fractal-based methods and inverse problems for differential equations: current state of the art,<\/em> Math. Probl. Eng. 2014 (2014),<\/span> Art. ID 737694. <a href=\"https:\/\/www.hindawi.com\/journals\/mpe\/2014\/737694\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <span class=\"title\"><em>An intrinsic notion of convexity for minimax<\/em>,<\/span> J. Convex Anal. 21 (2014), 1105\u20131139. <a href=\"https:\/\/www.heldermann.de\/JCA\/JCA21\/JCA214\/jca21059.htm\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2013<\/h6>\n<ul>\n<li>M.I. Berenguer, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>An approximation method for solving systems of Volterra integro-differential equations<\/em>, Appl. Numer. Math. 67 (2013)<\/span> 126\u2013135. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0168927411000547\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>F. Cali\u00f2, A.I. Garralda-Guillem, E. Marchetti, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Numerical approaches for systems of Volterra-Fredholm integral equations<\/em>, Appl. Math. Comput 225 (2013), <\/span>811\u2013821. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0096300313010606\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>B. Cascales, J. Orihuela, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Compactness, optimality, and risk<\/em>, <\/span>Computational and analytical mathematics, 161\u2013218, Springer Proc. Math. Stat. 50, Springer, New York, 2013. <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-1-4614-7621-4_10\" target=\"_blank\" rel=\"noopener noreferrer\">CHAPTER<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, M.I. Berenguer, G.N. Gatica, D. La Torre, <em>Some Recent Developments in Applied Functional Analysis<\/em>, J. Function Spaces 2013 (2013), Art. ID 407425. <a href=\"https:\/\/www.hindawi.com\/journals\/jfs\/si\/714613\/\" target=\"_blank\" rel=\"noopener\">EDITORIAL (open access)<\/a><\/li>\n<\/ul>\n<h6>2012<\/h6>\n<ul>\n<li>M.I. Berenguer, M.V. Fern\u00e1ndez Mu\u00f1oz, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>A sequential approach for solving the Fredholm integro-differential equation<\/em>, Appl. Numer. Math. 62 (2012), <\/span>297\u2013304. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0168927411000614\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>F. Cali\u00f2, A.I. Garralda-Guillem, E. Marchetti, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>About some numerical approaches for mixed integral equations<\/em>, Appl. Math. Comput. 219 (2012), <\/span>464\u2013474. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0096300312005966\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>J. Orihuela, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>A coercive James&#8217;s weak compactness theorem and nonlinear variational problems<\/em>, Nonlinear Anal. 75 (2012)<\/span>, 598\u2013611. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0362546X11006249\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>J. Orihuela, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Lebesgue property for convex risk measures on Orlicz spaces<\/em>, Math. Financ. Econ. 6 (2012), <\/span>15\u201335. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11579-012-0058-5\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Characterization of the solvability of generalized constrained variational equations<\/em>, Abstr. Appl. Anal. 2012 (2012)<\/span>, Art. ID 247425. <a href=\"https:\/\/www.hindawi.com\/journals\/aaa\/2012\/247425\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2011<\/h6>\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, M.C. Serrano P\u00e9rez, <span class=\"title\"><em>Biorthogonal systems for solving Volterra integral equation systems of the second kind<\/em>, J. Comput. Appl. Math. 235 (2011), <\/span>1875\u20131883. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042710004085\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2010<\/h6>\n<ul>\n<li>M.I. Berenguer, A.I. Garralda-Guilllem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation<\/em>, Fixed Point Theory Appl. 2010 (2010), <\/span>Art. ID 470149. <a href=\"https:\/\/link.springer.com\/article\/10.1155\/2010\/470149\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Convex numerical radius<\/em>, J. Math. Anal. Appl. 361 (2010), <\/span>481\u2013491. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X09006192\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Variational equations with constraints<\/em>, Appl. Math. Lett. 23 (2010), <\/span>801\u2013806. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0893965910000832\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2009<\/h6>\n<ul>\n<li>M.I. Berenguer, M.V. Fern\u00e1ndez Mu\u00f1oz, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation<\/em>, Fixed Point Theory Appl. 2009 (2009), <\/span>Art. ID 735638. <a href=\"https:\/\/link.springer.com\/article\/10.1155\/2009\/735638\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M.I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guilllem, M. Ruiz Gal\u00e1n, M.C. Serrano P\u00e9rez, <span class=\"title\"><em>Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind<\/em>, Abstr. Appl. Anal. 2009 (2009), <\/span>Art. ID 149367. <a href=\"https:\/\/www.hindawi.com\/journals\/aaa\/2009\/149367\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>High-order nonlinear initial-value problems countably determined,<\/em> J. Comput. Appl. Math. 228 (2009), <\/span>77\u201382. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042708004391\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, <span class=\"title\"><em>A version of the Lax-Milgram theorem for locally convex spaces<\/em>, J. Convex Anal. 16 (2009), <\/span>993\u20131002. <a href=\"https:\/\/www.heldermann.de\/JCA\/JCA16\/JCA163\/jca16061.htm\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2008<\/h6>\n<ul>\n<li>A. Palomares, M. Pasadas, V. Ram\u00edrez, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>A convergence result for a least-squares method using Schauder bases<\/em>, Math. Comput. Simuation 77 (2008), <\/span>274\u2013281. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0378475407002431\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2007<\/h6>\n<ul>\n<li>E. Castro, D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, High order linear initial-value problems and Schauder bases, Appl. Math. Model. 31 (2007), 2629\u20132638. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0307904X06002496\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2005<\/h6>\n<ul>\n<li>D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Nonlinear initial-value problems and Schauder bases<\/em>, Nonlinear Anal. 63 (2005), <\/span>97\u2013105. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0362546X05004979\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li><span class=\"title\">A. Palomares, M. Ruiz Gal\u00e1n, <em>Isomorphisms, Schauder bases in Banach spaces, and numerical solution of integral and differential equations<\/em>, Numer. Funct. Anal. Optim. 26 (2005),<\/span> 129\u2013137. <a href=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1081\/NFA-200051625?journalCode=lnfa20\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2004<\/h6>\n<ul>\n<li>M.D. Acosta, J. Becerra Guerrero, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Functions attaining the supremum and isomorphic properties of a Banach space<\/em>,<\/span> J. Korean Math. Soc. 41 (2004), 21\u201338. <a href=\"http:\/\/koreascience.or.kr\/article\/JAKO200411922194498.page\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M.D. Acosta,\u00a0J. Becerra Guerrero, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>James type results for polynomials and symmetric multilinear forms<\/em>, Ark. Mat. 43 (2004), <\/span>1\u201311. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/BF02432907\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M.I. Berenguer, M.A. Fortes, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Linear Volterra integro-differential equation and Schauder bases<\/em>, Appl. Math. Comput. 159 (2004), <\/span>495\u2013507. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0096300303011421\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li><span class=\"title\">M. Ruiz Gal\u00e1n, <em>Polynomials, symmetric multilinear forms and weak compactness<\/em>, Positivity 8 (2004)<\/span>, 297\u2013304. <a href=\"https:\/\/link.springer.com\/article\/10.1007%2Fs11117-004-8544-5\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2003<\/h6>\n<ul>\n<li>M.D. Acosta, J. Becerra Guerrero, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Characterizations of the reflexive spaces in the spirit of James&#8217; Theorem<\/em>, <\/span>Trends in Banach spaces and operator theory<em>, <\/em> 1\u201314, Contemp. Math. 321, Amer. Math. Soc., Providence, RI, 2003. <a href=\"http:\/\/www.ams.org\/books\/conm\/321\/\" target=\"_blank\" rel=\"noopener noreferrer\">CHAPTER<\/a><\/li>\n<li>M.D. Acosta, J. Becerra Guerrero, M. Ruiz Gal\u00e1n, <span class=\"title\"><em>Numerical-radius-attaining polynomials<\/em>, Q. J. Math. 54 (2003), <\/span>1\u201310. <a href=\"https:\/\/academic.oup.com\/qjmath\/article\/54\/1\/1\/1523356\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2002<\/h6>\n<ul>\n<li>M.D. Acosta, J. Becerra Guerrero, M. Ruiz Gal\u00e1n, <em>Dual spaces generated by the interior of the set of norm attaining functionals<\/em>, Studia Math. 149 (2002), 175\u2013183. <a href=\"https:\/\/www.impan.pl\/pl\/wydawnictwa\/czasopisma-i-serie-wydawnicze\/studia-mathematica\/all\/149\/2\/90682\/dual-spaces-generated-by-the-interior-of-the-set-of-norm-attaining-functionals\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>A. Palomares, M. Pasadas, V. Ram\u00edrez, M. Ruiz Gal\u00e1n, <em>Schauder bases in Banach spaces: application to numerical solutions of differential equations<\/em>, Comput. Math. Appl. 44 (2002), 619\u2013622. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0898122102001761?via%3Dihub\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M. Ruiz Gal\u00e1n, S. Simons, <em>A new minimax theorem and a perturbed James&#8217;s theorem<\/em>, Bull. Austral. Math. Soc. 66 (2002), 43\u201356. <a href=\"https:\/\/www.cambridge.org\/core\/journals\/bulletin-of-the-australian-mathematical-society\/article\/new-minimax-theorem-and-a-perturbed-jamess-theorem\/C1EEC9B4798683312FD96131B8132565\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>2001<\/h6>\n<ul>\n<li>M.D. Acosta, J. Becerra Guerrero, M. Ruiz Gal\u00e1n, <em>Norm attaining operators and James&#8217; theorem, <\/em>Recent progress in functional analysis, 215\u2013224, North-Holland Math. Stud. 189, North-Holland, Amsterdam, 2001. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0304020801800475?via%3Dihub\" target=\"_blank\" rel=\"noopener noreferrer\">CHAPTER<\/a><\/li>\n<\/ul>\n<h6>2000<\/h6>\n<ul>\n<li>M.D. Acosta, M. Ruiz Gal\u00e1n, <em>Reflexive spaces and numerical radius attaining operators<\/em>, Extracta Math. 15 (2000), 247\u2013255. <a href=\"https:\/\/dialnet.unirioja.es\/servlet\/articulo?codigo=118639\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<\/ul>\n<h6>1999<\/h6>\n<ul>\n<li>M.D. Acosta, M. Ruiz Gal\u00e1n, <em>A version of James&#8217; theorem for numerical radius<\/em>, Bull. London Math. Soc. 31 (1999), 67\u201374. <a href=\"https:\/\/londmathsoc.onlinelibrary.wiley.com\/doi\/abs\/10.1112\/S0024609398004585\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>1998<\/h6>\n<ul>\n<li>M.D. Acosta, M. Ruiz Gal\u00e1n, <em>New characterizations of the reflexivity in terms of the set of norm attaining functionals<\/em>, Canad. Math. Bull. 41 (1998), 279\u2013289. <a href=\"https:\/\/www.cambridge.org\/core\/journals\/canadian-mathematical-bulletin\/article\/new-characterizations-of-the-reflexivity-in-terms-of-the-set-of-norm-attaining-functionals\/54D06C10313662CBD5A2E8ED741D80A5\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE (open access)<\/a><\/li>\n<li>M.D. Acosta, M. Ruiz Gal\u00e1n, <em>Norm attaining operators and reflexivity<\/em>, Rend. Circ. Mat. Palermo (2) Suppl. 56 (1998), 171\u2013177.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>My most important publications are listed below. Links to them are included, although they can also be accessed through the databases \u00a0\u00a0\u00a0 2024 M.I. Berenguer, D. G\u00e1mez, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution, Math. Comput. Simulation 223 (2024), 394\u2014404. ARTICLE [&hellip;]<\/p>\n","protected":false},"author":16,"featured_media":0,"parent":818,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[],"tags":[32,48,50,52,30,34],"class_list":{"0":"post-824","1":"page","2":"type-page","3":"status-publish","5":"tag-hahn-banach","6":"tag-integral-equations-en","7":"tag-inverse-problems-en","8":"tag-iterative-methods-en","9":"tag-minimax","10":"tag-optimization","11":"entry"},"_links":{"self":[{"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/pages\/824","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/comments?post=824"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/pages\/824\/revisions"}],"predecessor-version":[{"id":1282,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/pages\/824\/revisions\/1282"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/pages\/818"}],"wp:attachment":[{"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/media?parent=824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/categories?post=824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugr.es\/mruizg\/wp-json\/wp\/v2\/tags?post=824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}