Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

被引：1

作者：

Wang, Qilin ^{[1
]}

Yu, Guolin ^{[2
]}

机构：

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

[2] Beifang Univ Nationalities, Res Inst Informat & Syst Computat Sci, Yinchuan 750021, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

基金：

中国国家自然科学基金;

关键词：

CONTINGENT EPIDERIVATIVES; VECTOR OPTIMIZATION; MAXIMIZATIONS;

D O I：

10.1155/2011/432963

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature.

引用

页数：16

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