Semicontinuity of Approximate Solution Mappings to Parametric Set-Valued Weak Vector Equilibrium Problems

被引：31
|
作者：
Peng, Z. Y. [1 ]
Zhao, Y. [2 ]
Yang, X. M. [3 ]
机构：
[1] Chongqing JiaoTong Univ, Coll Sci, Chongqing, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 04期
关键词：
90C29; 49K40; 90C31; Berge continuity; Scalarization; Hausdorff continuity; Parametric set-valued weak vector equilibrium problem; KY FAN INEQUALITY; GENERALIZED SYSTEMS; CONTINUITY; STABILITY; EXISTENCE; TRIFUNCTIONS; OPTIMIZATION;
D O I：
10.1080/01630563.2015.1013551
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we obtain some stability results for parametric weak vector equilibrium problem with set-valued mappings. By using a scalarization method, we establish sufficient conditions for the semicontinuity of the approximate solution mappings to parametric set-valued weak vector equilibrium problem under weak assumptions. These results extend and improve some known results in the literature.
引用
收藏
页码：481 / 500
页数：20
相关论文
共 50 条
  • [41] On the stability of approximate solutions to set-valued equilibrium problems
    Lam Quoc Anh
    Pham Thanh Duoc
    Tran Ngoc Tam
    OPTIMIZATION, 2020, 69 (7-8) : 1583 - 1599
  • [42] EXISTENCE RESULTS FOR APPROXIMATE SET-VALUED EQUILIBRIUM PROBLEMS
    Abbasi, Malek
    Rezaei, Mahboubeh
    ADVANCES IN OPERATOR THEORY, 2016, 1 (02) : 189 - 205
  • [43] LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS
    Li, Sheng-Jie
    Liu, Hui-Min
    Chen, Chun-Rong
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 81 (01) : 85 - 95
  • [44] Generalized Strongly Vector Equilibrium Problem for Set-Valued Mappings
    Ahmad, Rais
    Rahaman, Mijanur
    FILOMAT, 2014, 28 (09) : 1783 - 1790
  • [45] Existence of Solutions to Generalized Vector Quasi-equilibrium Problems with Set-Valued Mappings
    Zhao, Yali
    Lu, Hong
    Wang, Chao
    PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE: TECHNOLOGIES AND APPLICATIONS, 2016, 127
  • [46] Lipschitz Continuity of Approximate Solution Mappings to Parametric Generalized Vector Equilibrium Problems
    Han, Yu
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 178 (03) : 763 - 793
  • [47] Lipschitz Continuity of Approximate Solution Mappings to Parametric Generalized Vector Equilibrium Problems
    Yu Han
    Journal of Optimization Theory and Applications, 2018, 178 : 763 - 793
  • [48] Weak Subdifferentials for Set-Valued Mappings
    Long, X. J.
    Peng, J. W.
    Li, X. B.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 162 (01) : 1 - 12
  • [49] Weak subdifferential of set-valued mappings
    Song, W
    OPTIMIZATION, 2003, 52 (03) : 263 - 276
  • [50] Weak Subdifferentials for Set-Valued Mappings
    X. J. Long
    J. W. Peng
    X. B. Li
    Journal of Optimization Theory and Applications, 2014, 162 : 1 - 12
12345