Multiobjective programming under d-invexity

被引：34
|
作者：
Antczak, T [1 ]
机构：
[1] Univ Lodz, Fac Math, PL-90238 Lodz, Poland
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2002年 / 137卷 / 01期
关键词：
multiobjective programming; (weak) Pareto optimal solution; d-invex function with respect to eta; optimality conditions; duality;
D O I：
10.1016/S0377-2217(01)00092-3
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, a generalization of convexity is considered in the case of nonlinear multiobjective programming problem where the functions involved are nondifferentiable. By considering the concept of Pareto optimal solution and substituting d-invexity for convexity, the Fritz John type and Karush-Kuhn-Tucker type necessary optimality conditions and duality in the sense of Mond-Weir and Wolfe for nondifferentiable multiobjective programming are given. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：28 / 36
页数：9
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