Variational Convergence of Composed Convex Functions |
| |
Authors: | M. Laghdir L. Thibault |
| |
Affiliation: | (1) Département de Mathématiques, Faculté des Sciences, B.P. 20, El-Jadida, Maroc;(2) Département de Mathématiques, Université Montpellier II, Montpellier, 34095, France |
| |
Abstract: | 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 (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. |
| |
Keywords: | variational convergence composed convex functions epiconvergence constraint qualifications partial order |
本文献已被 SpringerLink 等数据库收录! |
|