Variational Convergence of Bifunctions: Motivating Applications

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.

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Tech. Note, University of California, Davis, December 2010

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