OPTIMAL VALUE FUNCTION IN SEMI-INFINITE PROGRAMMING

作     者：GOBERNA, MA LOPEZ, MA 

作者机构：1.Faculty of Sciences University of Alicante Alicante Spain 

出 版 物：《JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS》 (优选法理论与应用杂志)

年 卷 期：1988年第59卷第2期

页      面：261-279页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Semi-infinite programming duality gap discrete approximation subdifferential mapping convex analysis 

摘      要：In this paper, we provide a systematic approach to the main topics in linear semi-infinite programming by means of a new methodology based on the many properties of the sub-differential mapping and the closure of a given convex function. In particular, we deal with the duality gap problem and its relation to the discrete approximation of the semi-infinite program. Moreover, we have made precise the conditions that allow us to eliminate the duality gap by introducing a perturbation in the primal objective function. As a by-product, we supply different extensions of well-known results concerning the subdifferential mapping.