Equilibrium Problems and Applications

Table of Contents

1. Preliminaries and basic mathematical tools 2. An overview on equilibrium problems 3. Mathematical tools for solving equilibrium problems 4. Existence of solutions of equilibrium problems 5. Well-posedness for the equilibrium problems 6. Variational principles and variational analysis for the equilibrium problems 7. Applications to sensitivity of parametric equilibrium problems 8. Applications to Nash equilibrium 9. Applications to mathematical economics 10. Applications to variational inequalities and related topics 11. Regularization and numerical methods for equilibrium problems

Authors

Gabor Kassay Babes-Bolyai University in Cluj, Romania. Gábor Kassay received his Ph.D. thesis at the Babes-Bolyai University in Cluj-Napoca, Romania, under the supervision of József Kolumbán in 1994. He is a Professor in Mathematics at the same University, with more than 75 published research papers, several books and book-chapters in the larger area of nonlinear analysis, and more than 1500 citations. Gábor Kassay delivered many invited and plenary talks, was session organizer and guest of honor at prestigious international conferences. He has more than 35 coauthors and collaborators from all over the world. He is currently the supervisor of the Research Group of Analysis and Optimization accredited by the Faculty of Mathematics and Computer Science of the Babes-Bolyai University. Between 2002 and 2004 he was an associate professor of Eastern Mediterranean University in Famagusta, Cyprus. Vicentiu Radulescu AGH University of Science and Technology, Kraków, Poland. Vicen?iu D. Radulescu received his Ph.D. at the Université Pierre et Marie Curie (Paris 6) in 1995 under the supervision of Haim Brezis. In 2003 he defended his Habilitation Mémoire at the same university. Radulescu is Professor at the AGH University of Science and Technology in Kraków, Leading Senior Researcher at the Institute of Mathematics, Physics and Mechanics in Ljubljana, Professorial Fellow at the "Simion Stoilow” Mathematics Institute of the Romanian Academy, and Professor at the University of Craiova. He is the author of about 300 research papers in nonlinear analysis and several books, including Variational and Nonvariational Methods in Nonlinear Analysis and Boundary Value Problems (Kluwer, 2003), Singular Elliptic Problems: Bifurcation and Asymptotic Analysis (Oxford University Press, 2008), Problems in Real Analysis: Advanced Calculus on the Real Axis (Springer, 2009), Variational Principles in Mathematical Physics, Geometry and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems (Cambridge University Press, 2010), Nonlinear PDEs: Mathematical Models in Biology, Chemistry and Population Genetics (Springer, 2012), Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis (CRC Press, 2015), Variational Methods for Nonlocal Fractional Problems (Cambridge University Press, 2016). He was a Highly Cited Researcher (2014). He was elected to the Accademia Peloritana dei Pericolanti (2014) and to the Accademia delle Scienze dell'Umbria (2017).