On the stability of approximate solutions to set-valued equilibrium problems

被引：8
|
作者：
Lam Quoc Anh [1 ]
Pham Thanh Duoc [2 ]
Tran Ngoc Tam [3 ,4 ]
机构：
[1] Cantho Univ, Teacher Coll, Dept Math, Can Tho, Vietnam
[2] Vo Truong Toan Univ, Dept Math, Hauglang, Vietnam
[3] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
OPTIMIZATION | 2020年 / 69卷 / 7-8期
关键词：
Equilibrium problem; variational inequality; linear scalarization; stability of approximate solutions; traffic network equilibrium problem; SOLUTION MAPPINGS; SOLUTION MAPS; OPTIMIZATION PROBLEMS; LOWER SEMICONTINUITY; WELL-POSEDNESS; CONTINUITY; EXISTENCE; CONSTRAINTS; SENSITIVITY;
D O I：
10.1080/02331934.2019.1646744
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：
In this paper, we consider set-valued equilibrium problems in Hausdorff locally convex topological vector spaces. Based on linear scalarization techniques for sets, we study sufficient conditions for the stability of approximate solutions to such problems. Variational inequalities with equilibrium constraints and weak traffic network equilibrium problems are also discussed as applications of the main results.
引用
收藏
页码：1583 / 1599
页数：17
相关论文
共 50 条
  • [41] SCALARIZATIONS AND LAGRANGE MULTIPLIERS FOR APPROXIMATE SOLUTIONS IN THE VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPS
    Gao, Ying
    Yang, Xinmin
    Yang, Jin
    Yan, Hong
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2015, 11 (02) : 673 - 683
  • [42] Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps
    Sisarat, Nithirat
    Wangkeeree, Rabian
    Tanaka, Tamaki
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2020, 77 (02) : 273 - 287
  • [43] OPTIMALITY CONDITIONS FOR APPROXIMATE SOLUTIONS OF SET-VALUED OPTIMIZATION PROBLEMS IN REAL LINEAR SPACES
    Kiyani, E.
    Vaezpour, S. M.
    Tavakoli, C. J.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 395 - 407
  • [44] Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps
    Nithirat Sisarat
    Rabian Wangkeeree
    Tamaki Tanaka
    [J]. Journal of Global Optimization, 2020, 77 : 273 - 287
  • [45] Well-posedness for set-valued equilibrium problems
    Miholca, Mihaela
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2022, 67 (01): : 91 - 103
  • [46] Generalized vector equilibrium problems with set-valued mappings
    Fu, JY
    Wan, AH
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2002, 56 (02) : 259 - 268
  • [47] Generalized vector equilibrium problems with set-valued mappings
    Jun-Yi Fu
    An-Hua Wan
    [J]. Mathematical Methods of Operations Research, 2002, 56 : 259 - 268
  • [48] Equilibrium problems with set-valued mappings in Banach spaces
    Beldiman, Miruna
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) : 3364 - 3371
  • [49] GENERAL ALGORITHM FOR EQUILIBRIUM PROBLEMS AND SET-VALUED OPERATORS
    Eslamian, Mohammad
    [J]. FIXED POINT THEORY, 2018, 19 (01): : 193 - 209
  • [50] 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
12345