Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators

被引：0

作者：

Mohammad SR Chowdhury

Afrah AN Abdou

Yeol Je Cho

机构：

[1] University of Management and Technology (UMT),Department of Mathematics

[2] King Abdulaziz University,Department of Mathematics

[3] Gyeongsang National University,Department of Mathematics Education and RINS

来源：

Journal of Inequalities and Applications | / 2014卷

关键词：

generalized quasi-variational-like inequalities; pseudo-monotone type II operators; locally convex Hausdorff topological vector spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining our results on GQVLI for pseudo-monotone type II operators, we use Chowdhury and Tan’s generalized version (Chowdhury and Cho in J. Inequal. Appl. 2012:79, 2012) of Ky Fan’s minimax inequality (Fan in Inequalities, vol. III, pp.103-113, 1972) as the main tool.

引用

共 50 条

[1] Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators
Chowdhury, Mohammad S. R.
Abdou, Afrah A. N.
Cho, Yeol Je
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[2] Existence theorems of generalized quasi-variational-like inequalities for η-h-pseudo-monotone type I operators on non-compact sets
Mohammad Showkat Rahim Chowdhury
Yeol Je Cho
Journal of Inequalities and Applications, 2012
[3] Generalized variational-like inequalities for pseudo-monotone type III operators
Chowdhury, Mohammad S. R.
Tan, Kok-Keong
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2008, 6 (04): : 526 - 536
[4] Existence theorems of generalized quasi-variational-like inequalities for eta-h-pseudo-monotone type I operators on non-compact sets
Chowdhury, Mohammad Showkat Rahim
Cho, Yeol Je
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[5] Existence of solutions for generalized quasi-variational-like inequalities
Ding, XP
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1997, 18 (02) : 141 - 150
[6] Existence of solutions for generalized quasi-variational-like inequalities
Ding Xieping
Applied Mathematics and Mechanics, 1997, 18 (2) : 141 - 150
[7] Generalized quasi-variational inequalities on non-compact sets with pseudo-monotone operators
El Arni, A
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 249 (02) : 515 - 526
[8] A regularization approach for variational inequalities with pseudo-monotone operators
Kalashnikov, V
Khan, AA
OPERATIONS RESEARCH PROCEEDINGS 1999, 2000, : 19 - 22
[9] The existence result for the system of generalized vector quasi-variational-like inequalities
Lin, Zhi
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 1105 - 1107
[10] EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED MIXED QUASI-VARIATIONAL-LIKE INEQUALITIES
Liu, Zeqing
Guan, Hongyan
Shim, Soo Hak
Kang, Shin Min
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 20 (04): : 709 - 721

← 1 2 3 4 5 →