Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions

被引：13

作者：

Agarwal, Ravi P. ^{[1
]}

Ahmad, Izhar ^{[1
,3
]}

Jayswal, Anurag ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Birla Inst Technol, Dept Appl Math, Ranchi 835215, Bihar, India

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 9-10期

关键词：

Multi-objectiveprogramming; K-F; -; convexity; Cone constraints; Efficiency; Duality theoems;

D O I：

10.1016/j.mcm.2010.06.030

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A pair of Mond-Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K-F-convexity assumptions. Our results generalize several known results in the literature. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1644 / 1650

页数：7

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