Sufficiency and duality for multiobjective variational control problems with G-invexity

被引：13

作者：

Zhang, Jianke ^{[1
,2
]}

Liu, Sanyang ^{[1
]}

Li, Lifeng ^{[1
,2
]}

Feng, Quanxi ^{[1
,3
]}

机构：

[1] Xidian Univ, Sch Sci, Xian 710071, Peoples R China

[2] Xian Univ Posts & Telecommun, Sch Sci, Xian 710121, Peoples R China

[3] Guilin Univ Technol, Sch Sci, Guilin 541004, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Multiobjective variational control problem; Sufficient optimality conditions; Duality; G-invex functions;

D O I：

10.1016/j.camwa.2011.11.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Antczak introduced vector-valued G-invex functions in 2009, which is a new class of generalized convex functions for differentiable multiobjective programming problems. In this paper, we extend the vector-valued G-invex functions to multiobjective variational control problems. By using the new concepts, a number of sufficient optimality results and Mond-Weir type duality results are obtained for multiobjective variational control programming problems. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：838 / 850

页数：13

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