Minty's lemma and vector variational-like inequalities

被引：8

作者：

Chinaie, M. ^{[1
]}

Jabarootian, T. ^{[2
]}

Rezaie, M. ^{[1
]}

Zafarani, J. ^{[1
]}

机构：

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

[2] Islamic Azad Univ, Dept Math, Khomeiny Shahr Branch, Esfahan 84175119, Iran

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 40卷 / 1-3期

关键词：

Fan's KKM theorem; Minty's Lemma; vector variational-like inequality; Hausdorff metric;

D O I：

10.1007/s10898-007-9177-6

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 two vector versions of Minty's Lemma and obtain existence theorems for three kinds of vector variational-like inequalities. The results presented in this paper are extension and improvement of the corresponding results of other authors.

引用

页码：463 / 473

页数：11

共 24 条

[1]

ANSARI QH, 2000, VECTOR VARIATIONAL I, P17

[2]

Baiocchi C., 1984, VARIATIONAL QUASI VA

[3] EXISTENCE OF SOLUTIONS FOR A VECTOR VARIATIONAL INEQUALITY - AN EXTENSION OF THE HARTMANN-STAMPACCHIA THEOREM [J].