Unified higher order duality in nondifferentiable multiobjective programming involving cones

作     者：Ahmad, Izhar 

作者机构：King Fahd Univ Petr & Minerals Dept Math & Stat Dhahran 31261 Saudi Arabia 

出 版 物：《MATHEMATICAL AND COMPUTER MODELLING》 (数学与计算机模型建立)

年 卷 期：2012年第55卷第3-4期

页      面：419-425页

核心收录：

学科分类：07[理学] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：King Fahd University of Petroleum and Minerals  Dhahran  Saudi Arabia 

主　　题：Nondifferentiable multiobjective programming Higher order duality Efficient solutions Support function Cones Higher order generalized type-I functions 

摘      要：In this paper, a unified higher order dual is formulated for a nondifferentiable multiobjective programming problem, where every component of the objective function contains a term involving the support function of a compact convex set. Results about duality are presented under more suitable conditions. This higher order symmetric dual formulation unifies the symmetric dual formulations in the literature. (C) 2011 Elsevier Ltd. All rights reserved.