Well-posedness for parametric generalized vector quasivariational inequality problems of the Minty type

被引：2

作者：

Nguyen Van Hung ^{[1
]}

机构：

[1] Dong Thap Univ, Dept Math, Cao Lanh City, Vietnam

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

parametric generalized vector quasivariational inequality problems of the Minty type; well-posed; well-posedness in the generalized sense; upper semicontinuity; EQUILIBRIUM PROBLEMS; OPTIMIZATION PROBLEMS; STABILITY; EXISTENCE;

D O I：

10.1186/1029-242X-2014-178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concepts of well-posedness, and of well-posedness in the generalized sense for parametric generalized vector quasivariational inequality problems of the Minty type. The necessary and sufficient conditions for the various kinds of well-posedness of these problems are obtained. Our results are different from some main results in the literature and extend them.

引用

页数：16

共 50 条

[1] Well-posedness for parametric generalized vector quasivariational inequality problems of the Minty type
Nguyen Van Hung
[J]. Journal of Inequalities and Applications, 2014
[2] Well-Posedness of Generalized Vector Quasivariational Inequality Problems
Peng, Jian-Wen
Liu, Fang
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[3] LEVITIN-POLYAK WELL-POSEDNESS FOR PARAMETRIC GENERALIZED QUASIVARIATIONAL INEQUALITY PROBLEM OF THE MINTY TYPE
Wangkeeree, Rabian
Yimmuang, Panu
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (12) : 2401 - 2417
[4] Levitin–Polyak well-posedness for parametric quasivariational inequality problem of the Minty type
C. S. Lalitha
Guneet Bhatia
[J]. Positivity, 2012, 16 : 527 - 541
[5] Levitin-Polyak well-posedness for parametric quasivariational inequality problem of the Minty type
Lalitha, C. S.
Bhatia, Guneet
[J]. POSITIVITY, 2012, 16 (03) : 527 - 541
[6] Well-posedness for parametric quasivariational inequality problems and for optimization problems with quasivariational inequality constraints
Lalitha, C. S.
Bhatia, Guneet
[J]. OPTIMIZATION, 2010, 59 (07) : 997 - 1011
[7] On the Stability of Solution Mappings Parametric Generalized Vector Quasivariational Inequality Problems of the Minty Type
Lam Quoc Anh
Nguyen Van Hung
[J]. FILOMAT, 2017, 31 (03) : 747 - 757
[8] α-Well-Posedness for Quasivariational Inequality Problems
Peng, Jian Wen
Tang, Jing
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[9] Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints
Zhang, J.
Jiang, B.
Huang, X. X.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[10] Levitin-Polyak Well-Posedness for Strong Vector Mixed Quasivariational Inequality Problems
Boonman, Panatda
Wangkeeree, Rabian
Lam Quoc Anh
[J]. THAI JOURNAL OF MATHEMATICS, 2018, 16 (02): : 383 - 399

← 1 2 3 4 5 →