On vector variational-like inequalities and vector optimization problems with (G,α)-invexity

被引：1

作者：

JAYSWAL Anurag ^{[1
]}

CHOUDHURY Sarita ^{[1
,2
]}

机构：

[1] Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)

[2] Department of Mathematics, Science College (Autonomous)

来源：

Applied Mathematics:A Journal of Chinese Universities | 2017年 / 32卷 / 03期

关键词：

Minty vector variational-like inequality problem; Stampacchia vector variational-like inequality problem; vector optimization problem; (G; α)-invexity; vector critical point;

D O I：

暂无

中图分类号：

O224 [最优化的数学理论];

学科分类号：

070105 ; 1201 ;

摘要：

The aim of this paper is to study the relationship among Minty vector variationallike inequality problem, Stampacchia vector variational-like inequality problem and vector optimization problem involving(G, α)-invex functions. Furthermore, we establish equivalence among the solutions of weak formulations of Minty vector variational-like inequality problem,Stampacchia vector variational-like inequality problem and weak efficient solution of vector optimization problem under the assumption of(G, α)-invex functions. Examples are provided to elucidate our results.

引用

页码：323 / 338

页数：16

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