Vector Equilibrium Problems-A Unified Approach and Applications

被引:0
|
作者
Stamate, Cristina [1 ]
机构
[1] Octav Mayer Inst Math, Romanian Acad, Iasi Branch, Bd Carol 1 11, Iasi 700506, Romania
关键词
ordered vector space; convex cone; efficient points; vector equilibrium problem; solutions set; set-valued function; abstract economy; Walrasian equilibrium; conjugate duality; ECONOMIES; EXISTENCE; AGENTS;
D O I
10.3390/math12101448
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present existing results and properties for the solutions of some vector equilibrium problems with set-valued functions in the case of a vector space ordered by a cone with some "interiority" properties. Some applications concerning the existence of equilibrium for abstract economies and vector optimization problems are given.
引用
收藏
页数:21
相关论文
共 50 条
  • [1] ON VECTOR EQUILIBRIUM PROBLEMS AND APPLICATIONS
    Capata, Adela
    Kassay, Gabor
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (01): : 365 - 380
  • [2] Implicit vector equilibrium problems with applications
    Huang, NJ
    Li, J
    Thompson, HB
    MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (12-13) : 1343 - 1356
  • [3] A decomposition approach to vector equilibrium problems
    Nicolae Popovici
    Annals of Operations Research, 2017, 251 : 105 - 115
  • [4] A decomposition approach to vector equilibrium problems
    Popovici, Nicolae
    ANNALS OF OPERATIONS RESEARCH, 2017, 251 (1-2) : 105 - 115
  • [5] Treating Sleep Problems-A Transdiagnostic Approach
    Douglass, Alan
    CANADIAN JOURNAL OF PSYCHIATRY-REVUE CANADIENNE DE PSYCHIATRIE, 2018, 63 (09): : 636 - 636
  • [6] System of Vector Equilibrium Problems and Its Applications
    Q. H. Ansari
    S. Schaible
    J. C. Yao
    Journal of Optimization Theory and Applications, 2000, 107 : 547 - 557
  • [7] Optimality Conditions for Vector Equilibrium Problems with Applications
    Alfredo Iusem
    Felipe Lara
    Journal of Optimization Theory and Applications, 2019, 180 : 187 - 206
  • [8] The system of generalized vector equilibrium problems with applications
    Ansari, QH
    Schaible, S
    Yao, JC
    JOURNAL OF GLOBAL OPTIMIZATION, 2002, 22 (1-4) : 3 - 16
  • [9] The system of generalized vector equilibrium problems with applications
    Qamrul Hasan Ansari
    Siegfried Schaible
    Jen-Chih Yao
    Journal of Global Optimization, 2002, 22 : 3 - 16
  • [10] Optimality Conditions for Vector Equilibrium Problems with Applications
    Iusem, Alfredo
    Lara, Felipe
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 180 (01) : 187 - 206