Vector quasi-variational inequalities: Approximate solutions and well-posedness

被引:0
|
作者
Lignola, M. B.
Morgan, J.
机构
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80125 Naples, Italy
[2] Univ Naples Federico II, Dipartimento Matemat & Stat, I-80126 Naples, Italy
关键词
vector quasi-variational inequality; set-valued mapping; well-posedness; approximate solution; monotonicity; pseudomonotonicity;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce some concepts of approximate solutions for Vector Quasi-Variational Inequalities and we investigate the associated concepts of well-posedness, in line with Tikhonov well-posedness for Optimization Problems, Non Cooperative Games and scalar Variational Inequalities.
引用
收藏
页码:373 / 384
页数:12
相关论文
共 50 条
  • [41] Time-dependent elliptic quasi-variational-hemivariational inequalities: well-posedness and application
    Jiang, Tie-jun
    Cai, Dong-ling
    Xiao, Yi-bin
    Migorski, Stanislaw
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2024, 88 (02) : 509 - 530
  • [42] Time-dependent elliptic quasi-variational-hemivariational inequalities: well-posedness and application
    Tie-jun Jiang
    Dong-ling Cai
    Yi-bin Xiao
    Stanisław Migórski
    [J]. Journal of Global Optimization, 2024, 88 : 509 - 530
  • [43] Well-posedness by perturbations of mixed variational inequalities in Banach spaces
    Fang, Ya-Ping
    Huang, Nan-Jing
    Yao, Jen-Chih
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 201 (03) : 682 - 692
  • [44] EXISTENCE AND REGULARITY OF SOLUTIONS FOR CERTAIN QUASI-VARIATIONAL INEQUALITIES
    JOLY, JL
    MOSCO, U
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1979, 34 (01) : 107 - 137
  • [45] Levitin–Polyak well-posedness by perturbations of inverse variational inequalities
    Rong Hu
    Ya-Ping Fang
    [J]. Optimization Letters, 2013, 7 : 343 - 359
  • [46] Sensitivity analysis of solutions to a class of quasi-variational inequalities
    Adly, S
    Mansour, MA
    Scrimali, L
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2005, 8B (03): : 767 - 771
  • [47] Well-posedness by perturbations of variational-hemivariational inequalities with perturbations
    Ceng, Lu-Chuan
    Gupta, Himanshu
    Wen, Ching-Feng
    [J]. FILOMAT, 2012, 26 (05) : 881 - 895
  • [48] TYKHONOV WELL-POSEDNESS OF ELLIPTIC VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
    Sofonea, Mircea
    Xiao, Yi-Bin
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [49] Identification in Variational and Quasi-Variational Inequalities
    Gwinner, Joachim
    Jadamba, Baasansuren
    Khan, Akhtar A.
    Sama, Miguel
    [J]. JOURNAL OF CONVEX ANALYSIS, 2018, 25 (02) : 545 - 569
  • [50] Well-posedness for a Class of Variational-Hemivariational Inequalities with Perturbations
    Xiao, Yi-bin
    Huang, Nan-jing
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 151 (01) : 33 - 51