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：
来源：
Acta Mathematicae Applicatae Sinica | 2007年 / 01期
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
  • [41] A FIXED POINT THEOREM FOR SET-VALUED MAPPINGS
    Amitabh Banerjee 1
    2 Govt B H S S
    Applied Mathematics and Mechanics(English Edition), 2001, (12) : 1397 - 1403
  • [42] A fixed point theorem for set-valued mappings
    Amitabh Banerjee
    Thakur Balwant Singh
    Applied Mathematics and Mechanics, 2001, 22 (12) : 1397 - 1403
  • [43] Convergence of perturbed iterates of set-valued mappings
    Reich, Simeon
    Zaslavski, Alexander J.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2011, 10 (01) : 181 - 190
  • [44] Scalarization of Tangential Regularity of Set-Valued Mappings
    M. Bounkhel
    L. Thibault
    Set-Valued Analysis, 1999, 7 : 33 - 53
  • [45] Co-Radiant Set-Valued Mappings
    Jordan, Abelardo
    Enrique Martinez-Legaz, Juan
    JOURNAL OF CONVEX ANALYSIS, 2020, 27 (02) : 389 - 405
  • [46] Real-valued Choquet integrals for set-valued mappings
    Huang, Yan
    Wu, Congxin
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (02) : 683 - 688
  • [47] ON CONTINUOUS SELECTIONS OF FINITE-VALUED SET-VALUED MAPPINGS
    Zhukovskiy, S. E.
    EURASIAN MATHEMATICAL JOURNAL, 2018, 9 (01): : 83 - 87
  • [48] GENERALIZED KY FAN MINIMAX INEQUALITIES FOR SET-VALUED MAPPINGS
    Zhang, Y.
    Li, S. J.
    FIXED POINT THEORY, 2014, 15 (02): : 609 - 622
  • [49] Generalized Ekeland’s variational principle with applications
    Eshagh Hashemi
    Reza Saadati
    Choonkil Park
    Journal of Inequalities and Applications, 2019
  • [50] Generalized vector equilibrium problems with set-valued mappings
    Fu, JY
    Wan, AH
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2002, 56 (02) : 259 - 268
12345