Generalized constraint qualifications and optimality conditions for set-valued optimization problems

被引：9
|
作者：
Yong-Wei, H [1 ]
机构：
[1] Chongqing Univ, Inst Appl Math, Chongqing 400045, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 265卷 / 02期
关键词：
set-valued maps; generalized constraint qualifications; optimality conditions; contingent epiderivatives;
D O I：
10.1006/jmaa.2001.7705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we discuss the connections of four generalized constraint qualifications for set-valued vector optimization problems with constraints. Then some K-T type necessary and sufficient optimality conditions are derived, in terms of the contingent epiderivatives. (C) 2002 Elsevier Science.
引用
收藏
页码：309 / 321
页数：13
相关论文
共 50 条
  • [31] Constraint qualifications and optimality conditions for optimization problems with cardinality constraints
    Cervinka, Michal
    Kanzow, Christian
    Schwartz, Alexandra
    MATHEMATICAL PROGRAMMING, 2016, 160 (1-2) : 353 - 377
  • [32] Constraint qualifications and optimality conditions for optimization problems with cardinality constraints
    Michal Červinka
    Christian Kanzow
    Alexandra Schwartz
    Mathematical Programming, 2016, 160 : 353 - 377
  • [33] OPTIMALITY CONDITIONS AND CONSTRAINT QUALIFICATIONS FOR CARDINALITY CONSTRAINED OPTIMIZATION PROBLEMS
    Xiao, Z. H. U. O. Y. U.
    Ye, Jane j.
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2024, 14 (03): : 614 - 635
  • [34] Optimality conditions for set-valued minimax fractional programming problems
    Das K.
    Nahak C.
    SeMA Journal, 2020, 77 (2) : 161 - 179
  • [35] On Optimization Problems with Set-Valued Objective Maps: Existence and Optimality
    Takashi Maeda
    Journal of Optimization Theory and Applications, 2012, 153 : 263 - 279
  • [36] On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems
    Ceng, Lu-Chuan
    Wen, Ching-Feng
    Liou, Yeong-Cheng
    MATHEMATICS, 2022, 10 (03)
  • [37] OPTIMALITY CONDITIONS FOR APPROXIMATE SOLUTIONS OF SET-VALUED OPTIMIZATION PROBLEMS IN REAL LINEAR SPACES
    Kiyani, E.
    Vaezpour, S. M.
    Tavakoli, C. J.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 395 - 407
  • [38] On Optimization Problems with Set-Valued Objective Maps: Existence and Optimality
    Maeda, Takashi
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) : 263 - 279
  • [39] Optimality Conditions for Strictly Efficient Solutions in Set-valued Optimization
    Yi-hong Xu
    Acta Mathematicae Applicatae Sinica, English Series, 2020, 36 : 891 - 901
  • [40] Optimality Conditions for Strictly Efficient Solutions in Set-valued Optimization
    Xu, Yi-hong
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 36 (04): : 891 - 901
12345