A Collectively Fixed Point Theorem in Abstract Convex Spaces and Its Applications

被引:1
|
作者
Lu, Haishu [1 ]
Hu, Qingwen [2 ]
机构
[1] Jiangsu Univ Technol, Sch Business, Changzhou 213001, Jiangsu, Peoples R China
[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA
关键词
EQUILIBRIUM PROBLEMS; EXISTENCE THEOREMS; GENERALIZED GAMES; MINIMAX THEOREMS; MAXIMAL ELEMENTS; VALUED MAPPINGS; INEQUALITY; ECONOMIES;
D O I
10.1155/2013/517469
中图分类号
学科分类号
摘要
The main purpose of this paper is to establish a new collectively fixed point theorem in noncompact abstract convex spaces. As applications of this theorem, we obtain some new existence theorems of equilibria for generalized abstract economies in noncompact abstract convex spaces.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Collectively fixed point theorems in noncompact abstract convex spaces with applications
    Lu, Haishu
    Zhang, Kai
    Li, Rong
    [J]. AIMS MATHEMATICS, 2021, 6 (11): : 12422 - 12459
  • [2] Collectively fixed point theorem and abstract economy in G-convex spaces
    Ding, XP
    Park, JY
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2002, 23 (7-8) : 779 - 790
  • [3] NEW COLLECTIVELY FIXED POINT THEOREMS AND APPLICATIONS IN G-CONVEX SPACES
    丁协平
    Park Jong-yeoul
    [J]. Applied Mathematics and Mechanics(English Edition), 2002, (11) : 1237 - 1249
  • [4] New collectively fixed point theorems and applications inG-convex spaces
    Ding Xie-ping
    Park Jong-yeoul
    [J]. Applied Mathematics and Mechanics, 2002, 23 (11) : 1237 - 1249
  • [5] New collectively fixed point theorems and applications in G-convex spaces
    Ding, MP
    Park, JY
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2002, 23 (11) : 1237 - 1249
  • [6] SOME APPLICATIONS OF A COLLECTIVELY FIXED POINT THEOREM FOR MULTIMAPS
    Danet, Rodica-Mihaela
    Popovici, Ioan-Mircea
    Voicu, Florica
    [J]. FIXED POINT THEORY, 2009, 10 (01): : 99 - 109
  • [7] A fixed point theorem in locally convex spaces
    Vladimir Kozlov
    Johan Thim
    Bengt Ove Turesson
    [J]. Collectanea mathematica, 2010, 61 : 223 - 239
  • [8] A fixed point theorem in locally convex spaces
    Kozlov, Vladimir
    Thim, Johan
    Turesson, Bengt Ove
    [J]. COLLECTANEA MATHEMATICA, 2010, 61 (02) : 223 - 239
  • [9] A COMMON FIXED-POINT THEOREM IN ABSTRACT SPACES
    LIN, SD
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1987, 18 (08): : 685 - 690
  • [10] FIXED-POINT THEOREM IN LOCALLY CONVEX SPACES
    REICH, S
    [J]. BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY, 1971, 63 (04): : 199 - &