Fixed-point theorems and equilibrium problems

被引:36
|
作者
Lin, LJ [1 ]
Yu, ZT
机构
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
[2] Nan Kai COll Technol & Commerce, Dept Elect Engn, Nantour, Taiwan
关键词
KKM map; local intersection property; equilibrium; g-monotone; G-convex; G-convex space; quasiconcave; lower semicontinuous;
D O I
10.1016/S0362-546X(99)00202-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Fixed point theorems were established. The fixed-point theorems or generalized KKM theorems of Fan were applied to establish the existence theorems of equilibrium problem under various conditions of F. As a consequence of the existence theorems of equilibrium problem, an existence theorem of variational-like inequality problem of finding x*∈ were established.
引用
收藏
页码:987 / 999
页数:13
相关论文
共 50 条
  • [1] FIXED-POINT THEOREMS
    SHINBROT, M
    [J]. SCIENTIFIC AMERICAN, 1966, 214 (01) : 105 - &
  • [2] FIXED-POINT THEOREMS
    CHATTERJEA, SK
    [J]. DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1972, 25 (06): : 727 - +
  • [3] CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
    Yao, Yonghong
    Liou, Yeong-Cheng
    Lee, Chinsan
    Wong, Mu-Ming
    [J]. FIXED POINT THEORY, 2009, 10 (02): : 347 - 363
  • [4] Convergence Theorems for Equilibrium and Fixed Point Problems
    Shehu, Yekini
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (01) : 133 - 153
  • [5] Convergence Theorems for Equilibrium and Fixed Point Problems
    Yekini Shehu
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 133 - 153
  • [6] A connection between fixed-point theorems and tiling problems
    Jachymski, JR
    Schroder, B
    Stein, JD
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1999, 87 (02) : 273 - 286
  • [7] Abstract Fixed-Point Theorems and Fixed-Point Iterative Schemes
    Vetro, Calogero
    [J]. SYMMETRY-BASEL, 2022, 14 (12):
  • [8] FIXED-POINT AND COINCIDENCE POINT THEOREMS
    NAIDU, SVR
    RAO, KPR
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1988, 19 (03): : 255 - 268
  • [9] Two fixed-point theorems
    M. F. Sukhinin
    [J]. Mathematical Notes, 1999, 66 : 760 - 763
  • [10] SOME FIXED-POINT THEOREMS
    SUBRAHMANYAM, PV
    REILLY, IL
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 53 : 304 - 312