Second order duality for the variational problems under ρ - (η, θ)-invexity

被引：8

作者：

Padhan, S. K. ^{[1
]}

Nahak, C. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 12期

关键词：

Second order duality; Variational problem; rho; -; (eta; theta)-invexity; Weak duality; Strong duality; Converse duality; Mangasarian and Mond-Weir type duality; INVEXITY;

D O I：

10.1016/j.camwa.2010.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of second order duality for the variational problems using rho - (eta, theta)-invexity type conditions. Weak, strong and converse duality results of Mangasarian and Mond-Weir type of variational problems are established under rho - (eta, theta)-invexity assumptions. Many examples and counterexamples are illustrated to justify our work. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3072 / 3081

页数：10

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