Variational convergence of composed convex functions

作     者：Laghdir, M Thibault, L 

作者机构：Fac Sci Dept Math El Jadida Morocco Univ Montpellier 2 Dept Math F-34095 Montpellier France 

出 版 物：《POSITIVITY》 (正性)

年 卷 期：2005年第9卷第1期

页      面：115-147页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：variational convergence composed convex functions epiconvergence constraint qualifications partial order 

摘      要：In this paper we introduce a concept of variational convergence for mappings taking values in order topological vector spaces. This variational convergence notion is shown to be well adapted to the Gamma(epi)-convergence of composed convex functions, in the sense that it is preserved after composition with nondecreasing functions. It is proved how this stability result can be applied to the continuity of multipliers under perturbations associated with a family of constrained optimization problems. Other applications are also given.