Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization

被引：37

作者：

Wang, Q. L. ^{[1
,2
]}

Li, S. J. ^{[1
]}

Teo, K. L. ^{[3
]}

机构：

[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China

[2] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China

[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

OPTIMIZATION LETTERS | 2010年 / 4卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonconvex set-valued optimization; Generalized higher-order contingent (adjacent) derivatives Gerstewitz's nonconvex separation functional; Weakly efficient solutions; Higher-order optimality conditions; VECTOR OPTIMIZATION; MINIMIZERS; 2ND-ORDER; EXISTENCE;

D O I：

10.1007/s11590-009-0170-5

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, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives.

引用

页码：425 / 437

页数：13

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