On approximate solutions in set-valued optimization problems

被引:16
|
作者
Alonso-Duran, Maria [1 ]
Rodriguez-Marin, Luis [1 ]
机构
[1] UNED, Dpto Matemat Aplicada I ETSI Ind, Madrid, Spain
关键词
Approximate solutions; Set-valued optimization; Set optimization; Directional derivative; OPTIMALITY CONDITIONS; MAPS;
D O I
10.1016/j.cam.2012.04.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we introduce several concepts of approximate solutions of set-valued optimization problems with vector and set optimization. We prove existence results and necessary and sufficient conditions by using limit sets. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:4421 / 4427
页数:7
相关论文
共 50 条
  • [1] Approximate Weak Minimal Solutions of Set-Valued Optimization Problems
    Khoshkhabar-amiranloo, S.
    [J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2023, 11 (03) : 673 - 692
  • [2] Approximate Weak Minimal Solutions of Set-Valued Optimization Problems
    S. Khoshkhabar-amiranloo
    [J]. Journal of the Operations Research Society of China, 2023, 11 : 673 - 692
  • [3] Approximate solutions and scalarization in set-valued optimization
    Dhingra, Mansi
    Lalitha, C. S.
    [J]. OPTIMIZATION, 2017, 66 (11) : 1793 - 1805
  • [4] Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems
    Long, X. J.
    Li, X. B.
    Zeng, J.
    [J]. OPTIMIZATION LETTERS, 2013, 7 (08) : 1847 - 1856
  • [5] Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems
    X. J. Long
    X. B. Li
    J. Zeng
    [J]. Optimization Letters, 2013, 7 : 1847 - 1856
  • [6] On solutions of set-valued optimization problems
    Hernandez, Elvira
    Rodriguez-Marin, Luis
    Sama, Miguel
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1401 - 1408
  • [7] On the stability of approximate solutions to set-valued equilibrium problems
    Lam Quoc Anh
    Pham Thanh Duoc
    Tran Ngoc Tam
    [J]. OPTIMIZATION, 2020, 69 (7-8) : 1583 - 1599
  • [8] Approximate solutions in set-valued optimization problems with applications to maximal monotone operators
    Abbasi, Malek
    Rezaei, Mahboubeh
    [J]. POSITIVITY, 2020, 24 (04) : 779 - 797
  • [9] Approximate solutions in set-valued optimization problems with applications to maximal monotone operators
    Malek Abbasi
    Mahboubeh Rezaei
    [J]. Positivity, 2020, 24 : 779 - 797
  • [10] 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