WELL-POSEDNESS CHARACTERIZATIONS FOR SYSTEM OF

被引:0
|
作者
Mahalik, Kartikeswar [1 ]
Nahak, Chandal [1 ]
机构
[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, India
关键词
system of mixed hemivariational inequalities; approximating sequence; well-posed-; ness; perturbation; MIXED VARIATIONAL-INEQUALITIES; HEMIVARIATIONAL INEQUALITIES; INCLUSION PROBLEMS;
D O I
10.18514/MMN.2024.4201
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we concern with the concept of well-posedness and well-posedness in generalized sense for a system of mixed hemivariational inequality (SMHVI) with perturbations. We establish several metric characterizations and equivalent conditions of well-posedness for SMHVI. Our main results improve and extend some announced work in the literature.
引用
收藏
页码:839 / 853
页数:16
相关论文
共 50 条
  • [1] Metric characterizations for well-posedness of split hemivariational inequalities
    Shu, Qiao-yuan
    Hu, Rong
    Xiao, Yi-bin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [2] Metric characterizations of α-well-posedness for symmetric quasi-equilibrium problems
    Long, Xian-jun
    Huang, Nan-jing
    JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (03) : 459 - 471
  • [3] CHARACTERIZATIONS OF STRONG WELL-POSEDNESS FOR A CLASS OF MULTI-VALUED VARIATIONAL INEQUALITIES
    Oveisiha, M.
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 461 - 468
  • [4] WELL-POSEDNESS FOR VECTOR QUASIEQUILIBRIA
    Anh, Lam Quoc
    Khanh, Phan Quoc
    Van, Dang Thi My
    Yao, Jen-Chih
    TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (2B): : 713 - 737
  • [5] Metric characterizations of α-well-posedness for symmetric quasi-equilibrium problems
    Xian-jun Long
    Nan-jing Huang
    Journal of Global Optimization, 2009, 45 : 459 - 471
  • [6] Some metric characterizations of well-posedness for hemivariational-like inequalities
    Khakrah E.
    Razani A.
    Mirzaei R.
    Oveisiha M.
    Razani, A. (razani@sci.ikiu.ac.ir), 1600, Mathematical Research Press (2017):
  • [7] Metric Characterizations of α-Well-Posedness for a System of Mixed Quasivariational-Like Inequalities in Banach Spaces
    Ceng, L. C.
    Lin, Y. C.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [8] Strong well-posedness of a system of split variational inequalities
    Shams, Mahnaz
    Oveisiha, Morteza
    Abkar, Ali
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020, 27 (04) : 547 - 556
  • [9] Well-Posedness for Generalized Set Equilibrium Problems
    Lin, Yen-Cherng
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [10] Tykhonov triples, well-posedness and convergence results
    Xiao, Yi-Bin
    Sofonea, Mircea
    CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (01) : 135 - 143