Variational convergence of bivariate functions:: lopsided convergence

• 成果类型: Article; Proceedings Paper
• 署名作者: Jofre, Alejandro; Wets, Roger J. -B.
• 署名单位: University of California System; University of California Davis; Universidad de Chile
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-007-0122-8
• 发表日期: 2009
• 页码: 275-295
• 关键词: points

摘要

We explore convergence notions for bivariate functions that yield convergence and stability results for their maxinf (or minsup) points. This lays the foundations for the study of the stability of solutions to variational inequalities, the solutions of inclusions, of Nash equilibrium points of non-cooperative games and Walras economic equilibrium points, of fixed points, of solutions to inclusions, the primal and dual solutions of convex optimization problems and of zero-sum games. These applications will be dealt with in a couple of accompanying papers.