Variational Convergence of Bifunctions: Motivating Applications

Published: 2011/02/04

Complementarity and Variational Inequalities, Convex and Nonsmooth Optimization, Game Theory fixed points, generalized equations, inclusion systems, inequality systems, ky fan functions, lop-convergence, lopsided convergence, maxinf-points, nash and walras equilibrium points, variational inequality Short URL: https://optimization-online.org/?p=11437

It's shown that a number of variational problems can be cast as finding the maxinf-points (or minsup-points) of bivariate functions, coveniently abbreviated to bifunctions. These variational problems include: linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, non-cooperative games, Walras and Nash equilibrium problems. One can then appeal to the theory of lopsided convergence for bifunctions to derive a variety of stability results for each one of these variational problems.

Variational Convergence of Bifunctions: Motivating Applications

Citation

Article