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

被引：2

作者：

Jayswal, Anurag ^{[1
]}

Choudhury, Sarita ^{[1
,2
]}

机构：

[1] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad 826004, Jharkhand, India

[2] Sci Coll Autonomous, Dept Math, Ganjam 761102, Odisha, India

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 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; alpha)-invexity; vector critical point;

D O I：

10.1007/s11766-017-3339-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the relationship among Minty vector variational-like inequality problem, Stampacchia vector variational-like inequality problem and vector optimization problem involving (G, alpha)-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, alpha)-invex functions. Examples are provided to elucidate our results.

引用

页码：323 / 338

页数：16

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