Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming problems with generalized (C, α, ρ, d)-convexity

被引：5

作者：

Mishra, Shashi Kant ^{[1
]}

Jaiswal, Monika ^{[1
]}

Hoai An Le Thi ^{[2
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India

[2] Univ Lorraine, Lab Theoret & Appl Comp Sci LITA, UFR MIM, Metz, France

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2015年 / 28卷 / 01期

关键词：

Duality; generalized convexity; optimality conditions; semi-infinite programming; VARIATIONAL ANALYSIS;

D O I：

10.1007/s11424-015-2233-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper obtains sufficient optimality conditions for a nonlinear nondifferentiable multiobjective semi-infinite programming problem involving generalized (C, alpha, rho, d)-convex functions. The authors formulate Mond-Weir-type dual model for the nonlinear nondifferentiable multiobjective semi-infinite programming problem and establish weak, strong and strict converse duality theorems relating the primal and the dual problems.

引用

页码：47 / 59

页数：13

共 34 条

[1]

Antczak T, 2006, COMMENT MATH UNIV CA, V47, P213

[2] VARIATIONAL ANALYSIS IN SEMI-INFINITE AND INFINITE PROGRAMMING, II: NECESSARY OPTIMALITY CONDITIONS [J].