Variational Convergence Of Bifunctions: Motivating Applications
CALIFORNIA UNIV DAVIS
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It s shown that a number of variational problems can be cast as finding the maxinfpoints or minsup-points of bifunctions bivariate functions. These variational problems include linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, noncooperative games, Walras and Nash equilibrium problems. One can then appeal to the theory of lopsided convergence for bifunctions to derive stability results for each one of these variational problems.
- Statistics and Probability
- Fluid Mechanics