Random fixed points of set-valued operators

被引:27
|
作者
Benavides, TD
López-Acedo, G
Xu, HK
机构
[1] E CHINA UNIV SCI & TECHNOL, INST APPL MATH, SHANGHAI 200237, PEOPLES R CHINA
[2] UNIV DURBAN WESTVILLE, DEPT MATH, DURBAN 4000, SOUTH AFRICA
关键词
random fixed point; set-valued operator; measurable space; Hausdorff distance; measurable selection; nonexpansive operator; condensing operator; marginal map;
D O I
10.1090/S0002-9939-96-03062-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some random fixed point theorems for set-valued operators are obtained. The measurability of certain marginal maps is also studied. The underlying measurable space is not assumed to be a Suslin family.
引用
收藏
页码:831 / 838
页数:8
相关论文
共 50 条
  • [31] Fixed points of some set-valued F-contractions
    Liu, Zeping
    Na, Xue
    Kwun, Young Chel
    Kang, Shin Min
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5790 - 5805
  • [32] Fixed points of set-valued maps in locally complete spaces
    Bosch C.
    García C.L.
    Gilsdorf T.
    Gómez-Wulschner C.
    Vera R.
    Fixed Point Theory and Applications, 2017 (1)
  • [33] The homotopic invariance for fixed points of set-valued nonexpansive mappings
    Sims, B
    Xu, HK
    Yuang, GXZ
    FIXED POINT THEORY AND APPLICATIONS, VOL 2, 2001, : 93 - 104
  • [34] The homotopic invariance for fixed points of set-valued nonexpansive mappings
    Sims, B
    Xu, HK
    Yuan, GXZ
    FIXED POINT THEORY AND APPLICATIONS-BOOK, 2000, : 113 - 125
  • [35] Approximate Fixed Points for a Set-Valued Quasi-Contraction
    Zaslavski, Alexander J.
    JOURNAL OF CONVEX ANALYSIS, 2025, 32 (03) : 927 - 936
  • [36] A Fixed Point Theorem and Equivariant Points for Set-valued Mappings
    Shitanda, Yoshimi
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2009, 45 (03) : 811 - 844
  • [37] RANDOM COMMON FIXED POINT THEOREMS OF SET-VALUED MAPPINGS
    丁协平
    AppliedMathematicsandMechanics(EnglishEdition), 1986, (01) : 39 - 44
  • [38] ON FIXED-POINT THEOREMS FOR RANDOM SET-VALUED MAPS
    LIU, DS
    CHENG, SZ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (03) : 309 - 323
  • [39] ON FIXED-POINT THEOREMS OF RANDOM SET-VALUED MAPS
    LIU, ZS
    CHEN, SH
    KEXUE TONGBAO, 1983, 28 (04): : 433 - 435