Remarks on implicit vector variational inequalities

被引：0

作者：

Kum, S ^{[1
]}

Lee, GM

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, South Korea

[2] Pukyong Natl Univ, Dept Math Appl, Pusan 608737, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2002年 / 6卷 / 03期

关键词：

vector variational inequality; C-pseudomonotone; v-hemicontinuous; Fan-Browder fixed point Theorem; selection theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, as a continuation of the authors' work, the existence of solutions of IVVI for noncompact valued multifunctions is provided under generalized pseudomonotonicity assumption. This generalizes Konnov and Yao's results [6, Theorems 3.1 and 4.1]. Also another IVVI without the generalized pseudomonotonicity assumption is proposed and the existence of solutions of the IVVI is proved by using a selection theorem. This IVVI can be regarded as an extension of the VVI studied in Lee et al. [10].

引用

页码：369 / 382

页数：14

共 50 条

[1] On implicit vector variational inequalities
Lee, GM
Kum, SH
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 104 (02) : 409 - 425
[2] On Implicit Vector Variational Inequalities
G. M. Lee
S. H. Kum
[J]. Journal of Optimization Theory and Applications, 2000, 104 : 409 - 425
[3] Existence of solutions to implicit vector variational inequalities
Chiang, Y
Chadli, O
Yao, JC
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2003, 116 (02) : 251 - 264
[4] On vector implicit variational inequalities and complementarity problems
Huang, NJ
Li, J
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2006, 34 (03) : 399 - 408
[5] Existence of Solutions to Implicit Vector Variational Inequalities
Y. Chiang
O. Chadli
J.C. Yao
[J]. Journal of Optimization Theory and Applications, 2003, 116 : 251 - 264
[6] On Vector Implicit Variational Inequalities and Complementarity Problems
Nan-Jing Huang
Jun Li
[J]. Journal of Global Optimization, 2006, 34 : 399 - 408
[7] Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem
J. Fu
[J]. Journal of Optimization Theory and Applications, 1997, 93 : 141 - 151
[8] Simultaneous vector variational inequalities and vector implicit complementarity problem
Fu, J
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 93 (01) : 141 - 151
[9] On F-Implicit Generalized Vector Variational Inequalities
Y. C. Lin
[J]. Journal of Optimization Theory and Applications, 2009, 142 : 557 - 568
[10] On F-Implicit Generalized Vector Variational Inequalities
Lin, Y. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 142 (03) : 557 - 568

← 1 2 3 4 5 →