Generalized vector variational-like inequalities and vector optimization

被引：23

作者：

Ansari, Qamrul Hasan ^{[1
]}

Rezaie, Mahboubeh ^{[2
]}

Zafarani, Jafar ^{[2
,3
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Univ Isfahan, Dept Math, Esfahan 81745163, Iran

[3] Univ Sheikhbahaee, Esfahan, Iran

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 53卷 / 02期

关键词：

Generalized vector variational-like inequalities; Vector optimization problems; Pseudoinvexity; Quasimonotonicity; Properly quasimonotonicity; Clarke's generalized subdifferential; INVEXITY;

D O I：

10.1007/s10898-011-9686-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we consider different kinds of generalized vector variational-like inequality problems and a vector optimization problem. We establish some relationships between the solutions of generalized Minty vector variational-like inequality problem and an efficient solution of a vector optimization problem. We define a perturbed generalized Stampacchia vector variational-like inequality problem and discuss its relation with generalized weak Minty vector variational-like inequality problem. We establish some existence results for solutions of our generalized vector variational-like inequality problems.

引用

页码：271 / 284

页数：14

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