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
收藏
页码：323 / 338
页数：16
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