A note on semicontinuity of the solution mapping for parametric set optimization problems

被引：10
|
作者：
Preechasilp, Pakkapon [1 ]
Wangkeeree, Rabian [2 ]
机构：
[1] Pibulsongkram Rajabhat Univ, Fac Educ, Program Math, Phitsanulok 65000, Thailand
[2] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
来源：
OPTIMIZATION LETTERS | 2019年 / 13卷 / 05期
关键词：
Set optimization problem; Solution mapping; Semicontinuity;
D O I：
10.1007/s11590-018-1363-6
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The present work is devoted to studying the stability of a parametric set optimization problem. In particular, based on the partial order relation on the family of nonempty bounded sets defined by Karaman et al. (Positivity 22(3):783-802, 2018), we give some sufficient conditions for the upper semicontinuity, lower semicontinuity, and closedness of the solution mapping to a parametric set optimization problem.
引用
收藏
页码：1085 / 1094
页数：10
相关论文
共 50 条
  • [1] A note on semicontinuity of the solution mapping for parametric set optimization problems
    Pakkapon Preechasilp
    Rabian Wangkeeree
    [J]. Optimization Letters, 2019, 13 : 1085 - 1094
  • [2] Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices
    Han, Yu
    Zhang, Kai
    [J]. OPTIMIZATION, 2023, 72 (08) : 1961 - 1993
  • [3] Semicontinuity of the Minimal Solution Set Mappings for Parametric Set-Valued Vector Optimization Problems
    Xin Xu
    Yang-Dong Xu
    Yue-Ming Sun
    [J]. Journal of the Operations Research Society of China, 2021, 9 : 441 - 454
  • [4] Semicontinuity of the Minimal Solution Set Mappings for Parametric Set-Valued Vector Optimization Problems
    Xu, Xin
    Xu, Yang-Dong
    Sun, Yue-Ming
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2021, 9 (02) : 441 - 454
  • [5] Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
    Anh, LQ
    Khanh, PQ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) : 699 - 711
  • [6] A note on solution lower semicontinuity for parametric generalized vector equilibrium problems
    Zai Yun Peng
    Zhi Lin
    Kai Zhi Yu
    Da Cheng Wang
    [J]. Journal of Inequalities and Applications, 2014
  • [7] A note on solution lower semicontinuity for parametric generalized vector equilibrium problems
    Peng, Zai Yun
    Lin, Zhi
    Yu, Kai Zhi
    Wang, Da Cheng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [8] LOWER SEMICONTINUITY OF APPROXIMATE SOLUTION MAPPING TO PARAMETRIC SET-VALUED WEAK VECTOR EQUILIBRIUM PROBLEMS
    Zhao, Yong
    Peng, Zai-Yun
    Long, Xian-Jun
    Zeng, Jing
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2016, 12 (04): : 727 - 739
  • [9] On the solution continuity of parametric set optimization problems
    Xu, Y. D.
    Li, S. J.
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2016, 84 (01) : 223 - 237
  • [10] On the solution continuity of parametric set optimization problems
    Y. D. Xu
    S. J. Li
    [J]. Mathematical Methods of Operations Research, 2016, 84 : 223 - 237
12345