GENERALIZED HADAMARD WELLPOSED FOR LEXICOGRAPHIC VECTOR EQUILIBRIUM PROBLEMS

被引：0
|
作者：
Bantaojai, Thanatporn [1 ]
Lam Quoc Anh [2 ]
Pham Thi Vui [2 ]
机构：
[1] Valaya Alongkorn Rajabhat Univ Royal Patronage, Fac Educ, Math English Program, Pathum Thani 13180, Thailand
[2] Cantho Univ, Teacher Coll, Dept Math, Cantho City, Vietnam
来源：
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 01期
关键词：
lexicographic vector equilibrium problems; Hadamard well-posedness; sequence of sets; sequence of mappings; Painleve-Kuratowski convergence; lexicographic variational inequalities; HOLDER CONTINUITY; SOLUTION SETS; SENSITIVITY-ANALYSIS; EXISTENCE; CONVERGENCES;
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 study Painleve-Kuratowski convergence of the solution sets with a sequence of mappings converges continuously. By considering the solution sets of lexicographic vector equilibrium problems, we establish necessary and/or sufcient conditions to be Hadamard well-posed for the mentioned problems in the sense of Painleve-Kuratowski. The results in this paper unified, generalized and extended some known results in the literature. By obtaining consequences of the results, we also discuss lexicographic variational inequalities as an application.
引用
收藏
页码：488 / 500
页数：13
相关论文
共 50 条
  • [41] Generalized vector quasi-equilibrium problems
    S. J. Li
    K. L. Teo
    X. Q. Yang
    [J]. Mathematical Methods of Operations Research, 2005, 61 : 385 - 397
  • [42] Generalized vector quasi-equilibrium problems
    Li, SJ
    Teo, KL
    Yang, XQ
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2005, 61 (03) : 385 - 397
  • [43] Generalized vector quasi-equilibrium problems
    Fu, JY
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2000, 52 (01) : 57 - 64
  • [44] Generalized Vector Quasi-Equilibrium Problems
    Capata, Adela Elisabeta
    [J]. MATHEMATICS, 2024, 12 (06)
  • [45] The system of generalized vector equilibrium problems with applications
    Qamrul Hasan Ansari
    Siegfried Schaible
    Jen-Chih Yao
    [J]. Journal of Global Optimization, 2002, 22 : 3 - 16
  • [46] Generalized vector quasi-equilibrium problems
    Jun-Yi Fu
    [J]. Mathematical Methods of Operations Research, 2000, 52 : 57 - 64
  • [47] OPTIMALITY CONDITIONS FOR GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN VECTOR SPACES
    Ranjbar, Sahar
    Farajzadeh, Ali
    Yao, Jen-Chih
    Zhang, Tao
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 133 - 147
  • [48] Generalized Minty's lemma for generalized vector equilibrium problems
    Zeng, Lu-Chuan
    Yao, Jen-Chih
    [J]. APPLIED MATHEMATICS LETTERS, 2007, 20 (01) : 32 - 37
  • [49] Levitin-Polyak well-posedness for lexicographic vector equilibrium problems
    Wangkeeree, Rabian
    Bantaojai, Thanatporn
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 354 - 367
  • [50] Necessary and Sufficient Optimality Conditions for Vector Equilibrium Problems on Hadamard Manifolds
    Ruiz-Garzon, Gabriel
    Osuna-Gomez, Rafaela
    Ruiz-Zapatero, Jaime
    [J]. SYMMETRY-BASEL, 2019, 11 (08):
12345