Existence of solutions for generalized vector quasi-variational-like inequalities without monotonicity

被引：4

作者：

Gang, Xiao ^{[1
,2
]}

Liu, Sanyang ^{[2
]}

机构：

[1] Hanshan Normal Univ, Dept Math & Informat Technol, Chaozhou 521041, Guangdong, Peoples R China

[2] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Generalized vector quasi-variational-like inequality; Open lower sections; Upper semicontinuous; C-diagonal quasiconvexity; 0-diagonally convex; EQUILIBRIUM PROBLEMS;

D O I：

10.1016/j.camwa.2009.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study four kinds of generalized vector quasi-variational-like inequalities without monotonicity or pseudomonotonicity in Hausdorff topological vector spaces. By means of fixed point theorem, we obtain some existence theorems of solutions for four kinds of generalized vector quasi-variational-like inequalities. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1550 / 1557

页数：8

共 50 条

[41] GENERALIZED QUASI-VARIATIONAL-LIKE INEQUALITY PROBLEM
TIAN, GQ
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 1993, 18 (03) : 752 - 764
[42] Existence and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces
Ding, XP
Yao, JC
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (5-6) : 857 - 869
[43] Stability analysis for parametric generalized vector quasi-variational-like inequality problems
Ravi P Agarwal
Jia-wei Chen
Yeol Je Cho
Zhongping Wan
[J]. Journal of Inequalities and Applications, 2012
[44] Generalized vector variational and quasi-variational inequalities with operator solutions
Kum, S
Kim, WK
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2005, 32 (04) : 581 - 595
[45] Generalized Vector Variational and Quasi-Variational Inequalities with Operator Solutions
Sangho Kum
Won Kyu Kim
[J]. Journal of Global Optimization, 2005, 32 : 581 - 595
[46] The existence theorems of solutions for generalized vector-valued variational-like inequalities
Chang, SS
Thompson, HB
Yuan, GXZ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (07) : 1 - 9
[47] Existence of solutions to a class of generalized vector variational-like inequalities in fuzzy environment
Wang Chao
Zhao Ya-li
Han Dong-xue
[J]. PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATERIAL, MECHANICAL AND MANUFACTURING ENGINEERING, 2015, 27 : 1130 - 1135
[48] Existence of solutions of systems of generalized implicit vector variational inequalities
Al-Homidan, S.
Ansari, Q. H.
Schaible, S.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 134 (03) : 515 - 531
[49] Gap functions and existence of solutions to generalized vector variational inequalities
Li, J
He, ZQ
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (09) : 989 - 1000
[50] MULTIVALUED MIXED QUASI-VARIATIONAL-LIKE INEQUALITIES.
Lee, Byung-Soo
[J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2006, 13 (03): : 197 - 206

← 1 2 3 4 5 →