DUALITY FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS

被引:0
|
作者
Anh, N. L. H. [1 ]
机构
[1] Vietnam Natl Hochiminh City, Univ Sci, Dept Optimizat & Syst Theory, 227 Nguyen Van Cu,Dist 5, Hochiminh City, Vietnam
关键词
Equilibrium problem; duality; optimality conditions; quasi-relative efficient solution; generalized subconvexlikeness; SET-VALUED OPTIMIZATION; ORDER OPTIMALITY CONDITIONS; MOND-WEIR DUALITY; EXISTENCE; DERIVATIVES; INTERIOR;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, we study duality for vector equilibrium problems using a concept of generalized convexity in dealing with the quasi relative interior. Then, their applications to optimality conditions for quasi-relative efficient solutions are obtained. Our results are extensions of several existing ones in the literature when the ordering cones in both the objective space and the constraint space have possibly empty interior.
引用
收藏
页码:1679 / 1694
页数:16
相关论文
共 50 条
  • [21] Vector network equilibrium problems with uncertain demands and capacity constraints of arcs
    Wei, Hongzhi
    Chen, Chunrong
    Wu, Baowei
    OPTIMIZATION LETTERS, 2021, 15 (04) : 1113 - 1131
  • [22] Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces
    Li, Si-Huan
    Wang, Qiang
    Xu, Shu
    Wang, Jun-Xiang
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [23] Optimality conditions for the Henig efficient solution of vector equilibrium problems with constraints
    Long, X. J.
    Huang, Y. Q.
    Peng, Z. Y.
    OPTIMIZATION LETTERS, 2011, 5 (04) : 717 - 728
  • [24] CONTINGENT DERIVATIVES AND NECESSARY EFFICIENCY CONDITIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS
    Do Van Luu
    Tran Van Su
    RAIRO-OPERATIONS RESEARCH, 2018, 52 (02) : 543 - 559
  • [25] Optimality Conditions for the Efficient Solutions of Vector Equilibrium Problems with Constraints in Terms of Directional Derivatives and Applications
    Tran Van Su
    Dinh Dieu Hang
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (06) : 1619 - 1650
  • [26] Duality in Multiobjective Mathematical Programs with Equilibrium Constraints
    Singh K.V.K.
    Maurya J.K.
    Mishra S.K.
    International Journal of Applied and Computational Mathematics, 2021, 7 (3)
  • [27] Optimization and equilibrium problems with equilibrium constraints
    Mordukhovich, BS
    OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2005, 33 (05): : 379 - 384
  • [28] A Note on Fenchel Duality for Equilibrium Problems
    Bianchi, Monica
    Pini, Rita
    MINIMAX THEORY AND ITS APPLICATIONS, 2023, 8 (02): : 409 - 422
  • [29] A method of duality for a mixed vector equilibrium problem
    Li, S. J.
    Zhao, P.
    OPTIMIZATION LETTERS, 2010, 4 (01) : 85 - 96
  • [30] Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints
    Wangkeeree, Rabian
    Bantaojai, Thanatporn
    Yimmuang, Panu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,