Well-Posedness of Generalized Vector Quasivariational Inequality Problems

被引：0
|
作者：
Peng, Jian-Wen [1 ]
Liu, Fang [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math, Chongqing 400047, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
中国国家自然科学基金;
关键词：
FIXED-POINT PROBLEMS; FUNCTIONAL CONSTRAINTS; OPTIMIZATION PROBLEMS; INCLUSION PROBLEMS; MINIMAL ELEMENT; EXISTENCE; EXTENSION; SPACES;
D O I：
10.1155/2012/582792
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce several types of the Levitin-Polyak well-posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin-Polyak well-posednesses with or without gap functions of generalized vector quasivariational inequality problem are given. The results in this paper unify, generalize, and extend some known results in the literature.
引用
收藏
页数：17
相关论文
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 for parametric generalized vector quasivariational inequality problems of the Minty type
    Nguyen Van Hung
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [3] α-Well-Posedness for Quasivariational Inequality Problems
    Peng, Jian Wen
    Tang, Jing
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [4] 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
  • [5] 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,
  • [6] 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
  • [7] Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints
    J Zhang
    B Jiang
    XX Huang
    [J]. Fixed Point Theory and Applications, 2010
  • [8] LEVITIN-POLYAK WELL-POSEDNESS BY PERTURBATIONS OF STRONG VECTOR MIXED QUASIVARIATIONAL INEQUALITY PROBLEMS
    Boonman, Panatda
    Lam Quoc Anh
    Wangkeeree, Raman
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (07) : 1327 - 1352
  • [9] GENERALIZED WELL-POSEDNESS OF VECTOR OPTIMIZATION PROBLEMS
    Luo, H. L.
    Huang, X. X.
    Peng, J. W.
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2011, 7 (02): : 353 - 367
  • [10] GENERALIZED VECTOR QUASIEQUILIBRIUM PROBLEMS AND THEIR WELL-POSEDNESS
    Fakhar, M.
    Lotfipour, M.
    Zafarani, J.
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (12) : 2483 - 2500
12345