Equilibrium problems and applications
- London : Academic Press, 2019
- xx, 419 p.; 23 cm
- Mathematics in science and engineering .
Includes bibliographical references and index.
Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis.
9780128110294
Mathematical optimization Equilibrium Variational inequalities Approximate solutions Bifunction Bishop-Phelps theorem Convex functions Continuous functions Debreu-Gale-Nikaids theorem Equilibrium problem Fixed point problem Hilbert spaces KKM mapping Lower semicontinuous Nash equilibrium problem Pseudo-monotonicity Quasi-convex function Set-valued equilibrium problems Topological vector spaces Upper hemicontinuous function Variational inequality