{"id":169,"date":"2018-11-12T11:45:28","date_gmt":"2018-11-12T10:45:28","guid":{"rendered":"https:\/\/blogs.ugr.es\/convex\/?page_id=169"},"modified":"2024-01-31T10:35:01","modified_gmt":"2024-01-31T09:35:01","slug":"publications","status":"publish","type":"page","link":"https:\/\/blogs.ugr.es\/convex\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p><span id=\"result_box\" class=\"\" lang=\"en\"><span class=\"\">The most outstanding publications of the members of the group since its constitution are listed below:<\/span><\/span><\/p>\n<h6>2024<\/h6>\n<ul>\n<li>M.I. Berenguer, M. Ruiz Gal\u00e1n,\u00a0<span class=\"title-text\"><em>Iterative schemes for linear equations of the second kind and related inverse problems<\/em>,\u00a0<span class=\"title\">Appl. Numer. Math.<\/span>, in press.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0168927423002015\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO (acceso abierto)<\/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.\u00a0<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40314-023-02434-3\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO (acceso abierto)<\/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,\u00a0<\/em>Axioms 12 (2023), Art. ID 666.\u00a0<a href=\"https:\/\/www.mdpi.com\/2075-1680\/12\/7\/666\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO (acceso abierto)<\/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 108727.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S016501142300372X#se0030\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO (acceso abierto)<\/a><\/li>\n<li>H. Kunze, D. La Torre, A. Riccoboni, M. Ruiz Gal\u00e1n (Eds.),\u00a0<em>Engineering mathematics and artificial intelligence. Foundations, methods, and applications\u00a0<\/em>(1st ed.), CRC Press,\u00a0 Taylor &amp; Francis Group, Boca Raton, 2023<em>.<\/em>\u00a0<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\">LIBRO<\/a><\/li>\n<\/ul>\n<h6>2022<\/h6>\n<ul>\n<li>\n<div class=\"list-title margin-size-24-t margin-size-0-b text-width-32\">\n<p class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\"><span class=\"typography_0468e0 sans_0468e0 text_ba554c\">K. Ben Amara, M. I. <\/span><span class=\"typography_0468e0 sans_0468e0 text_ba554c\">Berenguer, A.<\/span>\u00a0<span class=\"typography_0468e0 sans_0468e0 text_ba554c\">Jeribi, , <\/span><em>Approximation of the Fixed Point of the Product of Two Operators in Banach Algebras with Applications to Some Functional Equations, <\/em><span class=\"text-bold text-italic text-meta\">Mathematics<\/span>,\u00a0<span class=\"text-meta\">2022, 10(22), 4179. <a href=\"https:\/\/www.mdpi.com\/2227-7390\/10\/22\/4179\">ARTICLE<\/a><\/span><\/p>\n<\/div>\n<\/li>\n<li>M. I. Berenguer, , M. Ruiz Gal\u00e1n, <em>An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator<\/em>, <em>Mathematics<\/em>\u00a02022,\u00a0<em>10 (7)<\/em>, 1012. https:\/\/doi.org\/10.3390\/math10071012 <a href=\"https:\/\/www.mdpi.com\/2227-7390\/10\/7\/1012\/htm\">ARTICLE<\/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>, In: 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\">ARTICLE<\/a><\/span><\/li>\n<li>A.I. Garralda-Guillem, P. Montiel L\u00f3pez, <i>Numerical solution for an inverse variational problem,<\/i> Optimization and Engineering 22 (2021), 2537-2552. <a href=\"https:\/\/link.springer.com\/article\/10.1007%2Fs11081-021-09671-7\" target=\"_blank\" rel=\"noopener\">ARTICLE<\/a><\/li>\n<li>S. Triberti, I. Durosini, J. Lin, D. La Torre, M. Ruiz Gal\u00e1n,\u00a0<em>On the \u201cHuman\u201d in Human-Artificial Intelligence Interaction,\u00a0<\/em>Front. Psychol.\u00a0<span class=\"volumeInfo\">12 (2021).\u00a0<a href=\"https:\/\/www.frontiersin.org\/articles\/10.3389\/fpsyg.2021.808995\/full\" target=\"_blank\" rel=\"noopener\">EDITORIAL (acceso abierto)<\/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), 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, <em>Projected iterations of fixed point type to solve nonlinear partial Volterra integro-differential equations<\/em>, Bull. Malays. Math. Sci. Soc. 43 (2020), 4431-4442\u00a0 <a href=\"https:\/\/doi.org\/10.1007\/s40840-020-00930-x\" 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> In: Optimization of complex systems: theory, models, algorithms and applications, 518-525, 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), 105433 <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1007570420302641\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/span><\/li>\n<li>P. Montiel L\u00f3pez, <em>A minimax approach for inverse inequalities,<\/em> Comm. Nonlinear Sci. Numer. Simul. 90 (2020), 105339 <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1007570420301714\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/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), 103-111. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042718302772\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/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), 5769-5778<\/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), 198-214. <a href=\"http:\/\/www.seio.es\/BBEIO\/BEIOVol35Num3\/index.html#30\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<\/ul>\n<h6>2018<\/h6>\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, <em>Numerical solving of several types of two-dimensional integral equations and estimation of error bound<\/em>, Math. Meth. Appl. Sci. 41 (2018), 7351\u20137366. <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/mma.4840\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\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> In: Recent Advances in Mathematical and Statistical Methods, 105-114, 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><br \/>\n<\/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=\"http:\/\/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>M.I. Berenguer, D. G\u00e1mez, <em>A <\/em><em>computational method for solving a class of two dimensional Volterra integral equation<\/em>, J. Comput. Appl. Math. 318 (2017) 403-410.<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S037704271630262X\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><strong><br \/>\n<\/strong><\/li>\n<li>M.I. Berenguer, D. G\u00e1mez, A. J. L\u00f3pez Linares, <em>Solution of systems of integro-differential equations using numerical treatment of fixed point<\/em>, J. Comput. Appl. Math. 315 (2017) 343\u2013353.\u00a0 <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S037704271630543X\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\n<li>M.I. Berenguer, D. G\u00e1mez, <em>Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm-Volterra integral equations of Hammerstein type<\/em>, Appl. Anal. 96 (2017), 516\u2013527. <a href=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/00036811.2015.1096346\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE <\/a><\/li>\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<\/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<\/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=\"http:\/\/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.ybook.co.jp\/online2\/opjnca\/vol17\/p2385.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<\/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>. In: 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 &#8220;generalized collage theorem&#8221; 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<\/a><\/li>\n<\/ul>\n<h6>2014<\/h6>\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, A. J. L\u00f3pez Linares, <em>An iterative scheme for solving systems of nonlinear Fredholm integro-differential equations<\/em>, Abstr. Appl. Anal. 2014 (2014), Art. ID 401541. <a href=\"https:\/\/www.hindawi.com\/journals\/aaa\/2014\/401541\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\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<\/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<\/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=\"http:\/\/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>I. Berenguer, D. G\u00e1mez, A. J. L\u00f3pez Linares, <em>Fixed point techniques and Schauder bases to approximate to solution of the first order nonlinear mixed Fredholm-Volterra integro differential equation<\/em> J. Comput. Appl. Math. 252 (2013) 52\u201361. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042712003846\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\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\/abs\/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> In: 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<\/ul>\n<h6>2012<\/h6>\n<ul>\n<li>I. Berenguer, D. G\u00e1mez, A. J. L\u00f3pez Linares, <em>Fixed-point iterative algorithm for the linear Fredholm-Volterra integro-differential equation,<\/em> J. Appl. Math. 2012 (2012), Art. ID 370894. <a href=\"https:\/\/www.hindawi.com\/journals\/jam\/2012\/370894\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\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>D. G\u00e1mez, <em>Analysis of the error in a numerical method used to solve nonlinear mixed Fredholm-Volterra-Hammerstein integral equation<\/em>, J. Funct. Space Appl. 2012 (2012), Art. ID 242870. <a href=\"https:\/\/www.hindawi.com\/journals\/jfs\/2012\/242870\/\" 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<\/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<\/a><\/li>\n<\/ul>\n<h6>2010<\/h6>\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, A. I. Garralda-Guillem, M. C. Serrano P\u00e9rez, <em>Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems<\/em>, Abstr. Appl. Anal. 2010 (2010), Art. ID 135216. <a href=\"https:\/\/www.hindawi.com\/journals\/aaa\/2010\/135216\/\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/a><\/li>\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<\/a><\/li>\n<li>F. Cali\u00f2, M.V. Fern\u00e1ndez Mu\u00f1oz, E. Marchetti, <span class=\"title\"><em>Direct and iterative methods for the numerical solution of mixed integral equations<\/em>, Appl. Math. Comput. 216 (2010), <\/span>3739\u20133746. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S009630031000576X\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICLE<\/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<\/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<\/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<\/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<\/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<\/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=\"http:\/\/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<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The most outstanding publications of the members of the group since its constitution are listed below: 2024 M.I. Berenguer, M. Ruiz Gal\u00e1n,\u00a0Iterative schemes for linear equations of the second kind and related inverse problems,\u00a0Appl. Numer. Math., in press.\u00a0ART\u00cdCULO (acceso abierto) 2023 M. I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz [&hellip;]<\/p>\n","protected":false},"author":16,"featured_media":0,"parent":0,"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":[24,20,28,22,18,26],"class_list":{"0":"post-169","1":"page","2":"type-page","3":"status-publish","5":"tag-hahn-banach","6":"tag-integral-equations","7":"tag-inverse-problems","8":"tag-iterative-methods","9":"tag-minimax","10":"tag-optimization","11":"entry"},"_links":{"self":[{"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/pages\/169","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/comments?post=169"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/pages\/169\/revisions"}],"predecessor-version":[{"id":789,"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/pages\/169\/revisions\/789"}],"wp:attachment":[{"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/media?parent=169"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/categories?post=169"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugr.es\/convex\/wp-json\/wp\/v2\/tags?post=169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}