Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities

被引：14

作者：

Jayswal A. ^{[1
]}

Choudhury S. ^{[1
]}

Verma R.U. ^{[2
]}

机构：

[1] Department of Applied Mathematics, Indian School of Mines

[2] International Publications USA, Kingsville, TX 78363

来源：

Journal of Applied Mathematics and Computing | 2014年 / 45卷 / 1-2期

关键词：

(p; r)-invexity; Exponential type vector variational-like inequalities; Vector optimization problems;

D O I：

10.1007/s12190-013-0712-y

中图分类号：

学科分类号：

摘要：

A new class of exponential form of vector variational-like inequality problems is introduced, and then the equivalence among (weakly) efficient solutions, vector critical points of vector optimization problem and the solutions of vector variational-like inequalities under the framework of (p,r)-invexity is established. To the best our knowledge, the presented results are new and highly application oriented to other results based on generalized invexities to the context of optimization problems in the literature. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：87 / 97

页数：10

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