Nondifferentiable multiobjective symmetric duality with F-convexity over cones

被引：2

作者：

Saini, Himani ^{[1
]}

Gulati, T. R. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 05期

关键词：

Nondifferentiable multiobjective programming; Symmetric duality; Second-order K-F-convexity; Cone constraints; Weakly efficient solution; Duality theorems; 2ND-ORDER; CONSTRAINTS;

D O I：

10.1016/j.na.2010.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, a pair of Wolfe type nondifferentiable multiobjective second-order symmetric dual programs over arbitrary cones are formulated. Using the concept of weak efficiency with respect to a convex cone, weak, strong and converse duality theorems are studied under second-order K-F-convexity assumptions. Self-duality is also discussed. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1577 / 1584

页数：8

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