Levitin-Polyak Well-Posedness for Strong Vector Mixed Quasivariational Inequality Problems

被引：0
|
作者：
Boonman, Panatda [1 ]
Wangkeeree, Rabian [1 ]
Lam Quoc Anh [2 ]
机构：
[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
[2] Cantho Univ, Fac Sci, Dept Math, Can Tho, Vietnam
来源：
THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷 / 02期
关键词：
Levitin-Polyak well-posedness; strong vector mixed quasivariational inequality problems; Minty type; Stampacchia type;
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, we first introduce the concepts of Levitin-Polyak well-posedness and Levitin-Polyak well-posedness in the generalized sense for strong vector mixed quasivariational inequality problems of the Minty type and the Stampacchia type (for short, (MQVI) and (SQVI), respectively). Sufficient conditions for such problems to be Levitin-Polyak well-posedness are established. We also introduce the gap functions for (MQVI) and (SQVI) and study some properties which are used to study the Levitin-Polyak well-posedness for such problems.
引用
收藏
页码：383 / 399
页数：17
相关论文
共 50 条
  • [21] LEVITIN-POLYAK WELL-POSEDNESS FOR SET OPTIMIZATION PROBLEMS
    Ansari, Qamrul Hasan
    Hussain, Nasir
    Sharma, Pradeep Kumar
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (07) : 1353 - 1371
  • [22] Levitin-Polyak well-posedness for split equilibrium problems
    Dey, Soumitra
    Gibali, Aviv
    Reich, Simeon
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
  • [23] Levitin-Polyak well-posedness for vector optimization problems in linear spaces
    Lam Quoc Anh
    Nguyen Huu Danh
    Tran Ngoc Tam
    OPTIMIZATION, 2023, 72 (01) : 9 - 35
  • [24] Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces
    Li, Xiao-bo
    Xia, Fu-quan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2139 - 2153
  • [25] Levitin-Polyak well-posedness in generalized variational inequality problems with functional constraints
    Huang, X. X.
    Yang, X. Q.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2007, 3 (04) : 671 - 684
  • [26] LEVITIN-POLYAK WELL-POSEDNESS OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS
    Li, M. H.
    Li, S. J.
    Zhang, W. Y.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2009, 5 (04) : 683 - 696
  • [27] LEVITIN-POLYAK WELL-POSEDNESS FOR BILEVEL VECTOR VARIATIONAL INEQUALITIES
    Ju, Xingxing
    Zhu, Xiuli
    Akram, Mohd
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2019, 3 (03): : 277 - 293
  • [28] LEVITIN-POLYAK WELL-POSEDNESS OF THE SYSTEM OF WEAK GENERALIZED VECTOR EQUILIBRIUM PROBLEMS
    Peng, Jian-Wen
    Yao, Jen-Chih
    FIXED POINT THEORY, 2014, 15 (02): : 529 - 544
  • [29] LEVITIN-POLYAK WELL-POSEDNESS FOR VECTOR OPTIMIZATION PROBLEMS WITH GENERALIZED EQUILIBRIUM CONSTRAINTS
    Wang, G.
    PACIFIC JOURNAL OF OPTIMIZATION, 2012, 8 (03): : 565 - 576
  • [30] Levitin-Polyak well-posedness of symmetric vector quasi-equilibrium problems
    Han, Yu
    Gong, Xun-Hua
    OPTIMIZATION, 2015, 64 (07) : 1537 - 1545
12345