Optimality conditions and duality for semi-infinite programming involving B-arcwise connected functions

被引：13

作者：

Zhang, Qingxiang ^{[1
,2
]}

机构：

[1] Yanan Univ, Inst Math, Yanan 716000, Shaanxi, Peoples R China

[2] Yanan Univ, Coll Math & Comp Sci, Yanan 716000, Shaanxi, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2009年 / 45卷 / 04期

关键词：

B-arcwise connected function (BCN); Semi-infinite programming; Optimality condition; Duality; INFINITE; OPTIMIZATION; THEOREMS;

D O I：

10.1007/s10898-009-9400-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, a class of functions called B-arcwise connected (BCN) and strictly B-arcwise connected (STBCN) functions are introduced by relaxing definitions of arcwise connected function (CN) and B-vex function. The differential properties of B-arcwise connected function (BCN) are studied. Their two extreme properties are proved. The necessary and sufficient optimality conditions are obtained for the nondifferentiable nonlinear semi-infinite programming involving B-arcwise connected (BCN) and strictly B-arcwise connected (STBCN) functions. Mond-Weir type duality results have also been established.

引用

页码：615 / 629

页数：15

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