On Ekeland's Variational Principle for Set-Valued Mappings

被引:0
|
作者
Sheng-jie Li Wen-yan Zhang College of Mathematics and Science
机构
基金
中国国家自然科学基金;
关键词
Vector Ekeland variational principle; nonlinear scalarization function; metric space; set-valued mapping;
D O I
暂无
中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
In this paper,we derive a general vector Ekeland variational principle for set-valued mappings,which has a closed relation to εk~O-efficient points of set-valued optimization problems.The main result presentedin this paper is a generalization of the corresponding result in[3].
引用
收藏
页码:141 / 148
页数:8
相关论文
共 50 条
  • [1] Ekeland's ε-variational principle for set-valued mappings
    Chen, GY
    Huang, XX
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1998, 48 (02) : 181 - 186
  • [2] On Ekeland's variational principle for set-valued mappings
    Li, Sheng-jie
    Zhang, Wen-yan
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2007, 23 (01): : 141 - 148
  • [3] On Ekeland's Variational Principle for Set-Valued Mappings
    Sheng-jie Li
    Wen-yan Zhang
    Acta Mathematicae Applicatae Sinica, English Series, 2007, 23 : 141 - 148
  • [4] Ekeland's ε-variational principle for set-valued mappings
    Guang Ya Chen
    X. X. Huang
    Mathematical Methods of Operations Research, 1998, 48 : 181 - 186
  • [5] Ekeland's ε-variational principle for set-valued mappings
    Chen, Guang Ya
    Huang, X.X.
    Mathematical Methods of Operations Research, 48 (02): : 181 - 186
  • [6] An Ekeland's variational principle for set-valued mappings with applications
    Zeng, J.
    Li, S. J.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 477 - 484
  • [7] General Ekeland's variational principle for set-valued mappings
    Chen, GY
    Huang, XX
    Hou, SH
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 106 (01) : 151 - 164
  • [8] General Ekeland's variational principle for set-valued mappings
    Chen, G.Y.
    Huang, X.X.
    Hou, S.H.
    Journal of Optimization Theory and Applications, 2000, 100 (02) : 151 - 164
  • [9] General Ekeland's Variational Principle for Set-Valued Mappings
    G. Y. Chen
    X. X. Huang
    S. H. Hou
    Journal of Optimization Theory and Applications, 2000, 106 : 151 - 164
  • [10] On Ekeland's Variational Principle for Pareto Minima of Set-Valued Mappings
    Khanh, P. Q.
    Quy, D. N.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) : 280 - 297