Sharp minima for multiobjective optimization in Banach spaces

被引：17
|
作者：
Zheng, X. Y.
Yang, X. M.
Teo, K. L.
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China
[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
SET-VALUED ANALYSIS | 2006年 / 14卷 / 04期
关键词：
coderivative; multiobjective optimization; normal cone; sharp minimum; subdifferential;
D O I：
10.1007/s11228-006-0023-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study sharp minima for multiobjective optimization problems. In terms of the Mordukhovich coderivative and the normal cone, we present sufficient and or necessary conditions for existence of such sharp minima, some of which are new even in the single objective setting.
引用
收藏
页码：327 / 345
页数：19
相关论文
共 50 条
  • [1] Sharp Minima for Multiobjective Optimization in Banach Spaces
    X. Y. Zheng
    X. M. Yang
    K. L. Teo
    Set-Valued Analysis, 2006, 14 : 327 - 345
  • [2] Weak sharp minima in multiobjective optimization
    Studniarski, Marcin
    CONTROL AND CYBERNETICS, 2007, 36 (04): : 925 - 937
  • [3] UNIFORM WEAK SHARP MINIMA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEMS
    Hu, Chunhai
    Yang, Xiaoqi
    Zheng, Xi yin
    SIAM JOURNAL ON OPTIMIZATION, 2024, 34 (04) : 3699 - 3722
  • [4] Weak ψ-Sharp Minima in Vector Optimization Problems
    Xu, S.
    Li, S. J.
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [5] Weak sharp efficiency in multiobjective optimization
    S. K. Zhu
    Optimization Letters, 2016, 10 : 1287 - 1301
  • [6] Weak sharp efficiency in multiobjective optimization
    Zhu, S. K.
    OPTIMIZATION LETTERS, 2016, 10 (06) : 1287 - 1301
  • [7] Weak sharp minima for semi-infinite optimization problems with applications
    Zheng, Xi Yin
    Yang, Xiao Qi
    SIAM JOURNAL ON OPTIMIZATION, 2007, 18 (02) : 573 - 588
  • [8] Global weak sharp minima for convex (semi-)infinite optimization problems
    Zheng, Xi Yin
    Yang, Xiao Qi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (02) : 1021 - 1028
  • [9] Optimality conditions for weak ψ-sharp minima in vector optimization problems
    Peng, Z. Y.
    Xu, S.
    Long, X. J.
    POSITIVITY, 2013, 17 (03) : 475 - 482
  • [10] Weak sharp minima: Characterizations and sufficient conditions
    Studniarski, M
    Ward, DE
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 38 (01) : 219 - 236
12345