LOWER SEMICONTINUITY FOR PARAMETRIC SET-VALUED VECTOR EQUILIBRIUM-LIKE PROBLEMS

被引:0
|
作者
Chen, J. W. [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源
关键词
Lower semicontinuity; parametric set-valued vector equilibrium-like problem; weak f-property; positive proper efficient solution; QUASI-VARIATIONAL INEQUALITIES; STABILITY; CONTINUITY; MAPPINGS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A concept of weak f-property for a set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information about the solution set, the lower semicontinuity of the solution mapping to the parametric set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the constraint set K and a set-valued mapping H are perturbed by different parameters.
引用
收藏
页码:1195 / 1212
页数:18
相关论文
共 50 条
  • [41] Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
    Rabian Wangkeeree
    Panatda Boonman
    Pakkapon Preechasilp
    Journal of Inequalities and Applications, 2014
  • [42] Derivatives of Set-Valued Maps and Gap Functions for Vector Equilibrium Problems
    Mirzaee, Hadi
    Soleimani-damaneh, Majid
    SET-VALUED AND VARIATIONAL ANALYSIS, 2014, 22 (04) : 673 - 689
  • [43] NEW EXISTENCE THEOREMS FOR VECTOR EQUILIBRIUM PROBLEMS WITH SET-VALUED MAPPINGS
    Chen, Tao
    Zou, Shufang
    Zhang, Yu
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2019, 2019
  • [44] Approximate weakly efficient solutions of set-valued vector equilibrium problems
    Jian Chen
    Yihong Xu
    Ke Zhang
    Journal of Inequalities and Applications, 2018
  • [45] Generalized vector quasi-equilibrium problems with set-valued mappings
    Peng, Jian Wen
    Zhu, Dao Li
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1)
  • [46] Approximate weakly efficient solutions of set-valued vector equilibrium problems
    Chen, Jian
    Xu, Yihong
    Zhang, Ke
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [47] Semicontinuity of the solution set map to a set-valued weak vector variational inequality
    Chen, C. R.
    Li, S. J.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2007, 3 (03) : 519 - 528
  • [48] Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems
    Han, Yu
    Gong, Xun-Hua
    APPLIED MATHEMATICS LETTERS, 2014, 28 : 38 - 41
  • [49] Lower semicontinuity of solutions for order-perturbed parametric vector equilibrium problems
    Xia S.
    Xiang S.
    Yang Y.
    Xu D.
    Mathematical Sciences, 2016, 10 (1-2) : 41 - 45
  • [50] The connectedness of the solutions set for set-valued vector equilibrium problems under improvement sets
    Hongwei Liang
    Zhongping Wan
    Litao Zhang
    Journal of Inequalities and Applications, 2020