Variational Convergence of Bifunctions: Motivating Applications | Zendy

Alejandro Jofré | Zendy; Roger J.B. Wets | Zendy

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Variational Convergence of Bifunctions: Motivating Applications

Author(s) -

Alejandro Jofré,

Roger J.B. Wets

Publication year - 2014

Publication title -

siam journal on optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.066

H-Index - 136

eISSN - 1095-7189

pISSN - 1052-6234

DOI - 10.1137/120894695

Subject(s) - variational inequality , mathematics , complementarity theory , convergence (economics) , mathematical optimization , complementarity (molecular biology) , mixed complementarity problem , nonlinear complementarity problem , bivariate analysis , nonlinear system , economics , genetics , economic growth , statistics , physics , quantum mechanics , biology

It is shown that a number of variational and equilibrium problems can be cast as finding the maxinf-points or minsup-points of bivariate functions, for short, bifunctions. These problems include linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, noncooperative games, and Walras and Nash equilibrium problems. One appeals to the theory of lopsided convergence for bifunctions to derive stability results for each one of these problems.

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