New generalized invexity for duality in multiobjective programming problems involving N-set functions

被引：0

作者：

Mishra, SK ^{[1
]}

Wang, SY ^{[1
]}

Lai, KK ^{[1
]}

Shi, J ^{[1
]}

机构：

[1] GB Pant Univ Agr & Technol, Dept Math Stat & Comp Sci, Patanagar, India

来源：

GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS | 2005年 / 77卷

关键词：

multiobjective programming; n-set function; optimality; duality; generalized convexity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce four types of generalized convexity for an n-set function and discuss optimality and duality for a multiobjective programming problem involving n-set functions. Under some mild assumption on the new generalized convexity, we present a few optimality conditions for an efficient solution and a weakly efficient solution to the problem. Also we prove a weak duality theorem and a strong duality theorem for the problem and its Mond-Weir and general Mond-Weir dual problems respectively.

引用

页码：321 / 339

页数：19

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