GENERALIZED SEMI-INFINITE PROGRAMMING: OPTIMALITY CONDITIONS INVOLVING REVERSE CONVEX PROBLEMS

被引：4

作者：

Aboussoror, Abdelmalek ^{[1
]}

Adly, Samir ^{[2
]}

机构：

[1] Univ Cadi Ayyad, Lab LMC, Fac Polydisciplinaire Safi, Safi, Morocco

[2] Univ Limoges, Dept Math, Lab XLIM UMR CNRS 6172, F-87060 Limoges, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 7-9期

关键词：

Convex analysis; Generalized semi-infinite programming problems; Optimality conditions; Stability; OPTIMIZATION;

D O I：

10.1080/01630563.2014.895748

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with a generalized semi-infinite programming problem (S). Under appropriate assumptions, for such a problem we give necessary and sufficient optimality conditions via reverse convex problems. In particular, a necessary and sufficient optimality condition reduces the problem (S) to a min-max problem constrained with compact convex linked constraints.

引用

页码：816 / 836

页数：21

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