CONVERGENCE OF CONVEX-CONCAVE SADDLE FUNCTIONS - APPLICATIONS TO CONVEX-PROGRAMMING AND MECHANICS

被引：19

作者：

AZE, D

ATTOUCH, H

WETS, RJB

机构：

[1] UNIV MONTPELLIER,MONTPELLIER,FRANCE

[2] UNIV CALIF DAVIS,DAVIS,CA 95616

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1988年 / 5卷 / 06期

关键词：

Functions - Functional programming;

D O I：

10.1016/S0294-1449(16)30335-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that operation of partial conjugation (the partial Legendre-Fenchel transform) of bivariate convex-concave functions has bicontinuity properties with respect to the extended epi/hypo-convergence of saddle functions and the epi-convergence of the partial conjugate (convex) functions. The results are applied to study the stability of the optimal solutions and associated multipliers of convex programs, and to a couple of problems in mechanics. © 2016 L'Association Publications de l'Institut Henri Poincaré

引用

页码：537 / 572

页数：36

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