Convex and Numerical Analysis Research Group • Grupo de investigación Análisis Convexo y numérico (FQM 359)

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Publications

The most outstanding publications of the members of the group since its constitution are listed below:

2024
  • M.I. Berenguer, M. Ruiz Galán, Iterative schemes for linear equations of the second kind and related inverse problems, Appl. Numer. Math., in press. ARTÍCULO (acceso abierto)
2023
  • M. I. Berenguer, D. Gámez, A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Galán, Solving inverse problems for mixed-variational equations on perforated domains, Comp. Appl. Math. 42 (2023), Art. ID 297. ARTÍCULO (acceso abierto)
  • M. I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, A discrete chacterization of the solvability of equilibrium problems and its application to game theory, Axioms 12 (2023), Art. ID 666. ARTÍCULO (acceso abierto)
  • M. I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics, Fuzzy Sets and Systems 473 (2023), Art. ID 108727. ARTÍCULO (acceso abierto)
  • H. Kunze, D. La Torre, A. Riccoboni, M. Ruiz Galán (Eds.), Engineering mathematics and artificial intelligence. Foundations, methods, and applications (1st ed.), CRC Press,  Taylor & Francis Group, Boca Raton, 2023. LIBRO
2022

  • K. Ben Amara, M. I. Berenguer, A. Jeribi, , Approximation of the Fixed Point of the Product of Two Operators in Banach Algebras with Applications to Some Functional Equations, Mathematics, 2022, 10(22), 4179. ARTICLE

  • M. I. Berenguer, , M. Ruiz Galán, An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator, Mathematics 2022, 10 (7), 1012. https://doi.org/10.3390/math10071012 ARTICLE
2021
  • A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Galán, A Computational Study for Solving Inverse Problems for Mixed Variational Equations on Perforated Domains, In: Recent Developments in Mathematical, Statistical and Computational Sciences, 277—287, Springer Proceedings in Mathematics & Statistics 343, Springer, Cham, 2021. ARTICLE
  • A.I. Garralda-Guillem, P. Montiel López, Numerical solution for an inverse variational problem, Optimization and Engineering 22 (2021), 2537-2552. ARTICLE
  • S. Triberti, I. Durosini, J. Lin, D. La Torre, M. Ruiz Galán, On the “Human” in Human-Artificial Intelligence Interaction, Front. Psychol. 12 (2021). EDITORIAL (acceso abierto)
2020
  • M. Arana-Jiménez, M.I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, A perturbed collage theorem and its application to inverse interval integral problems, Comm. Nonlinear Sci. Numer. Simul. 90 (2020), 105365 ARTICLE
  • M.I. Berenguer, D. Gámez, Projected iterations of fixed point type to solve nonlinear partial Volterra integro-differential equations, Bull. Malays. Math. Sci. Soc. 43 (2020), 4431-4442  ARTICLE
  • M. I. Berenguer, D. Gámez, A.I. Garrralda-Guillem, M. Ruiz Galán, Minimax inequalities and variational equations, In: Optimization of complex systems: theory, models, algorithms and applications, 518-525, Advances in Intelligent Systems and Computing 991, Springer, Cham, 2020. CHAPTER
  • A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Galán, Using the generalized collage theorem for estimating unknown parameters in perturbed mixed variational equations, Comm. Nonlinear Sci. Numer. Simul. 91 (2020), 105433 ARTICLE
  • P. Montiel López, A minimax approach for inverse inequalities, Comm. Nonlinear Sci. Numer. Simul. 90 (2020), 105339 ARTICLE
2019
  • A.I. Garrralda-Guillem, M. Ruiz Galán, A minimax approach for the study of systems of variational equations and related Galerkin schemes, J. Comput. Appl. Math. 354 (2019), 103-111. ARTICLE
  • P. Montiel López, M. Ruiz Galán, Infinite programming and theorems of the alternative, Math. Meth. Appl. Sci. 42 (2019), 5769-5778. ARTICLE
  • M. Ruiz Galán, Minimax inequalities and optimization, Bol. Estad. Investig. Oper. 35 (2019), 198-214. ARTICLE
2018
  • M.I. Berenguer, D. Gámez, Numerical solving of several types of two-dimensional integral equations and estimation of error bound, Math. Meth. Appl. Sci. 41 (2018), 7351–7366. ARTICLE
  • H. Kunze, D. La Torre, M. Ruiz Galán, Using the collage method to solve inverse problems for vector-valued variational problems on a perforated domain in reflexive Banach spaces. In: Recent Advances in Mathematical and Statistical Methods, 105-114, Springer Proc. Math. Stat. 259, Springer, New York, 2018. CHAPTER
  • M. Ruiz Galán, Elementary convex techniques for equilibrium, minimax and variational problems, Optim. Lett. 12 (2018), 137–154. ARTICLE
  • M. Ruiz Galán, Minimax inequalities in the absence of topological assumptions, Minimax Theory Appl. 3 (2018), 81–90. ARTICLE
2017
  • M.I. Berenguer, D. Gámez, A computational method for solving a class of two dimensional Volterra integral equation, J. Comput. Appl. Math. 318 (2017) 403-410.ARTICLE
  • M.I. Berenguer, D. Gámez, A. J. López Linares, Solution of systems of integro-differential equations using numerical treatment of fixed point, J. Comput. Appl. Math. 315 (2017) 343–353.  ARTICLE
  • M.I. Berenguer, D. Gámez, Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm-Volterra integral equations of Hammerstein type, Appl. Anal. 96 (2017), 516–527. ARTICLE
  • P. Montiel López, M. Ruiz Galán, Revisiting the Hahn–Banach theorem and nonlinear infinite programming, J. Math. Anal. Appl. 455 (2017), 1037–1050. ARTICLE
  • M. Ruiz Galán, A theorem of the alternative with an arbitrary number of inequalities and quadratic programming, J. Global Optim. 69 (2017), 427–442. ARTICLE
2016
  • M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Galerkin method for constrained variational equations and a collage-based approach to related inverse problems, J. Comput. Appl. Math. 292 (2016), 67–75. ARTICLE
  • P. Montiel López, M. Ruiz Galán, Nonlinear programming via König’s maximum theorem, J. Optim. Theory Appl. 170 (2016), 838–852. ARTICLE
  • M. Ruiz Galán, A concave-convex Ky Fan minimax inequality, Minimax Theory Appl. 1 (2016), 111–124. ARTICLE
  • M. Ruiz Galán, A sharp Lagrange multiplier theorem for nonlinear programs, J. Global Optim. 65 (2016), 513–530. ARTICLE
  • M. Ruiz Galán, The Gordan theorem and its implications for minimax theory, J. Nonlinear Convex Anal. 17 (2016), 2385–2405. ARTICLE
2015
  • M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Galerkin schemes and inverse boundary value problems in reflexive Banach spaces, J. Comput. Appl. Math. 275 (2015), 100–112. ARTICLE
  • M.I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Set-valued nonlinear Fredholm interal equations: direct and inverse problem. In: Interdisciplinary topics in applied mathematics, modeling and computational science, 65-71, Springer Proc. Math. Stat. 117, Springer, New York, 2015. CHAPTER
  • H. Kunze, D. La Torre, K. Levere, M. Ruiz Galán, Inverse problems via the “generalized collage theorem” for vector-valued Lax-Milgram-based variational problems, Math. Probl. Eng. 2015 (2015), Art. ID 764643. ARTICLE
2014
  • M.I. Berenguer, D. Gámez, A. J. López Linares, An iterative scheme for solving systems of nonlinear Fredholm integro-differential equations, Abstr. Appl. Anal. 2014 (2014), Art. ID 401541. ARTICLE
  • A.I. Garralda-Guillem, G.N. Gatica, A. Márquez, M. Ruiz Galán, A posteriori error analysis of twofold saddle point variational formulations for nonlinear boundary value problems, IMA J. Numer. Anal. 34 (2014), 326–361. ARTICLE
  • A.I. Garralda-Guillem, M. Ruiz Galán, Mixed variational formulations in locally convex spaces, J. Math. Anal. Appl. 414 (2014), 825–849. ARTICLE
  • H. Kunze, D. La Torre, F. Mendivil, M. Ruiz Galán, R. Zaki, Fractal-based methods and inverse problems for differential equations: current state of the art, Math. Probl. Eng. 2014 (2014), Art. ID 737694. ARTICLE
  • M. Ruiz Galán, An intrinsic notion of convexity for minimax, J. Convex Anal. 21 (2014), 1105–1139. ARTICLE
2013
  • I. Berenguer, D. Gámez, A. J. López Linares, Fixed point techniques and Schauder bases to approximate to solution of the first order nonlinear mixed Fredholm-Volterra integro differential equation J. Comput. Appl. Math. 252 (2013) 52–61. ARTICLE
  • M.I. Berenguer, A.I. Garralda-Guillem, M. Ruiz Galán, An approximation method for solving systems of Volterra integro-differential equations, Appl. Numer. Math. 67 (2013) 126–135. ARTICLE
  • F. Caliò, A.I. Garralda-Guillem, E. Marchetti, M. Ruiz Galán, Numerical approaches for systems of Volterra-Fredholm integral equations, Appl. Math. Comput 225 (2013), 811–821. ARTICLE
  • B. Cascales, J. Orihuela, M. Ruiz Galán, Compactness, optimality, and risk. In: Computational and analytical mathematics, 161–218, Springer Proc. Math. Stat. 50, Springer, New York, 2013. CHAPTER
2012
  • I. Berenguer, D. Gámez, A. J. López Linares, Fixed-point iterative algorithm for the linear Fredholm-Volterra integro-differential equation, J. Appl. Math. 2012 (2012), Art. ID 370894. ARTICLE
  • M.I. Berenguer, M.V. Fernández Muñoz, A.I. Garralda-Guillem, M. Ruiz Galán, A sequential approach for solving the Fredholm integro-differential equation, Appl. Numer. Math. 62 (2012), 297–304. ARTICLE
  • F. Caliò, A.I. Garralda-Guillem, E. Marchetti, M. Ruiz Galán, About some numerical approaches for mixed integral equations, Appl. Math. Comput. 219 (2012), 464–474. ARTICLE
  • D. Gámez, Analysis of the error in a numerical method used to solve nonlinear mixed Fredholm-Volterra-Hammerstein integral equation, J. Funct. Space Appl. 2012 (2012), Art. ID 242870. ARTICLE
  • J. Orihuela, M. Ruiz Galán, A coercive James’s weak compactness theorem and nonlinear variational problems, Nonlinear Anal. 75 (2012), 598–611. ARTICLE
  • J. Orihuela, M. Ruiz Galán, Lebesgue property for convex risk measures on Orlicz spaces, Math. Financ. Econ. 6 (2012), 15–35. ARTICLE
  • M. Ruiz Galán, Characterization of the solvability of generalized constrained variational equations, Abstr. Appl. Anal. 2012 (2012), Art. ID 247425. ARTICLE
2011
  • M.I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, M.C. Serrano Pérez, Biorthogonal systems for solving Volterra integral equation systems of the second kind, J. Comput. Appl. Math. 235 (2011), 1875–1883. ARTICLE
2010
  • M.I. Berenguer, D. Gámez, A. I. Garralda-Guillem, M. C. Serrano Pérez, Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems, Abstr. Appl. Anal. 2010 (2010), Art. ID 135216. ARTICLE
  • M.I. Berenguer, A.I. Garralda-Guilllem, M. Ruiz Galán, Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation, Fixed Point Theory Appl. 2010 (2010), Art. ID 470149. ARTICLE
  • F. Caliò, M.V. Fernández Muñoz, E. Marchetti, Direct and iterative methods for the numerical solution of mixed integral equations, Appl. Math. Comput. 216 (2010), 3739–3746. ARTICLE
  • M. Ruiz Galán, Convex numerical radius, J. Math. Anal. Appl. 361 (2010), 481–491. ARTICLE
  • M. Ruiz Galán, Variational equations with constraints, Appl. Math. Lett. 23 (2010), 801–806. ARTICLE
2009
  • M.I. Berenguer, M.V. Fernández Muñoz, A.I. Garralda-Guillem, M. Ruiz Galán, Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation, Fixed Point Theory Appl. 2009 (2009), Art. ID 735638. ARTICLE
  • M.I. Berenguer, D. Gámez, A.I. Garralda-Guilllem, M. Ruiz Galán, M.C. Serrano Pérez, Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind, Abstr. Appl. Anal. 2009 (2009), Art. ID 149367. ARTICLE
  • D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, High-order nonlinear initial-value problems countably determined, J. Comput. Appl. Math. 228 (2009), 77–82. ARTICLE
  • M. Ruiz Galán, A version of the Lax-Milgram theorem for locally convex spaces, J. Convex Anal. 16 (2009), 993–1002. ARTICLE
2008
  • A. Palomares, M. Pasadas, V. Ramírez, M. Ruiz Galán, A convergence result for a least-squares method using Schauder bases, Math. Comput. Simuation 77 (2008), 274–281. ARTICLE
2007
  • E. Castro, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, High order linear initial-value problems and Schauder bases, Appl. Math. Model. 31 (2007), 2629–2638. ARTICLE