Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems

被引：7

作者：

Mishra, S. K. ^{[1
]}

Wang, S. Y.

Lai, K. K.

机构：

[1] Govind Ballabh Pant Univ Agr & Technol, Dept Math Stat & Comp Sci, Coll Basic Sci & Human, Pantnagar 263145, Uttar Pradesh, India

[2] City Univ Hong Kong, Kowloon, Hong Kong, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 1000800, Peoples R China

[4] City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 333卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonlinear programming; symmetric duality; variational problems; generalized convexity;

D O I：

10.1016/j.jmaa.2006.11.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a symmetric dual pair for a class of nondifferentiable multi-objective fractional variational problems. Weak, strong, converse and self duality relations are established under certain invexity assumptions. The paper includes extensions of previous symmetric duality results for multi-objective fractional variational problems obtained by Kim, Lee and Schaible [D.S. Kim, W.J. Lee, S. Schaible, Symmetric duality for invex multiobjective fractional variational problems, J. Math. Anal. Appl. 289 (2004) 505-521] and symmetric duality results for the static case obtained by Yang, Wang and Deng [X.M. Yang, S.Y. Wang, X.T. Deng, Symmetric duality for a class of multiobjective fractional programming problems, J. Math. Anal. Appl. 274 (2002) 279-2951 to the dynamic case. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1093 / 1110

页数：18

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