Multiobjective second-order mixed symmetric duality with a square root term

被引:4
作者
Gupta, S. K. [1 ]
Kailey, N. [2 ]
机构
[1] Indian Inst Technol Patna, Dept Math, Patna 800013, Bihar, India
[2] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
关键词
Mixed second-order symmetric duality; Multiobjective programming; Second-order F-convexity; Efficient solution; PROGRAMMING-PROBLEMS;
D O I
10.1016/j.amc.2012.01.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we have formulated a second-order mixed symmetric dual programs for a class of nondifferentiable multiobjective programming problem. Weak, strong and converse duality theorems are then proved for the aforementioned pair using the notion of second-order F-convexity/pseudoconvexity assumptions. Further, special cases are discussed to show that this paper extends some known results of the literature. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:7602 / 7613
页数:12
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