Generalized Hadamard well-posedness for infinite vector optimization problems

被引：6
|
作者：
Peng, Z. Y. [1 ]
Long, X. J. [2 ]
Wang, X. F. [3 ]
Zhao, Y. B. [4 ]
机构：
[1] Chongqing JiaoTong Univ, Coll Math & Stat, Chongqing, Peoples R China
[2] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing, Peoples R China
[3] Univ British Columbia, Dept Math, Kelowna, BC, Canada
[4] Univ Birmingham, Sch Math, Birmingham, W Midlands, England
来源：
OPTIMIZATION | 2017年 / 66卷 / 10期
基金：
加拿大自然科学与工程研究理事会; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
Infinite vector optimization problem; C-upper semicontinuous; generalized Hadamard well-posedness; semistrictly K-quasiconvex; efficient solution; cusco; SEMIINFINITE PROGRAMMING-PROBLEMS; QUASI-EQUILIBRIUM PROBLEMS; SENSITIVITY-ANALYSIS; PERTURBATIONS; STABILITY; EXISTENCE; MAPPINGS; SETS;
D O I：
10.1080/02331934.2017.1349767
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 study the generalized Hadamard well-posedness of infinite vector optimization problems (IVOP). Without the assumption of continuity with respect to the first variable, the upper semicontinuity and closedness of constraint set mappings are established. Under weaker assumptions, sufficient conditions of generalized Hadamard well-posedness for IVOP are obtained under perturbations of both the objective function and the constraint set. We apply our results to the semi-infinite vector optimization problem and the semi-infinite multi-objective optimization problem.
引用
收藏
页码：1563 / 1575
页数：13
相关论文
共 50 条
  • [1] GENERALIZED WELL-POSEDNESS OF VECTOR OPTIMIZATION PROBLEMS
    Luo, H. L.
    Huang, X. X.
    Peng, J. W.
    PACIFIC JOURNAL OF OPTIMIZATION, 2011, 7 (02): : 353 - 367
  • [2] GENERALIZED VECTOR QUASIEQUILIBRIUM PROBLEMS AND THEIR WELL-POSEDNESS
    Fakhar, M.
    Lotfipour, M.
    Zafarani, J.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (12) : 2483 - 2500
  • [3] On Hadamard well-posedness of families of Pareto optimization problems
    Gutierrez, Cesar
    Lopez, Ruben
    Novo, Vicente
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 444 (02) : 881 - 899
  • [4] Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
    Wenyan Zhang
    Jing Zeng
    Journal of Inequalities and Applications, 2017
  • [5] Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
    Zhang, Wenyan
    Zeng, Jing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [6] Hadamard well-posedness for a set optimization problem with an infinite number of constraints
    Duy, Tran Quoc
    OPTIMIZATION, 2024, 73 (05) : 1625 - 1643
  • [7] Well-Posedness of Generalized Vector Quasivariational Inequality Problems
    Peng, Jian-Wen
    Liu, Fang
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [8] Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems
    Zeng, Jing
    Peng, Zai-Yun
    Sun, Xiang-Kai
    Long, Xian-Jun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4104 - 4113
  • [9] Well-posedness in the generalized sense for variational inclusion and disclusion problems and well-posedness for optimization problems with constraint
    Lin, Lai-Jiu
    Chuang, Chih-Sheng
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3609 - 3617
  • [10] Extended well-posedness properties of vector optimization problems
    Huang, X.X.
    Journal of Optimization Theory and Applications, 2000, 100 (02) : 165 - 182
12345