Random fixed points of set-valued maps

被引：23
|
作者：
Shahzad, N [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21413, Saudi Arabia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 45卷 / 06期
关键词：
random operator; 1-set-contractive map; random fixed point; condition (A);
D O I：
10.1016/S0362-546X(99)00412-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mapping T is proven to be a continuous random operator if it is always true for continuous condensing mappings. If this T satisfies this condition, then T has a random fixed point if and only if T has a deterministic fixed point. This result unifies and extends a number of known, as well as some new, random fixed point theorems.
引用
收藏
页码：689 / 692
页数：4
相关论文
共 50 条
  • [1] Random fixed points of set-valued operators
    Benavides, TD
    López-Acedo, G
    Xu, HK
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) : 831 - 838
  • [2] FIXED-POINTS AND COINCIDENCES FOR SET-VALUED MAPS
    BENELMECHAIEKH, H
    DEGUIRE, P
    GRANAS, A
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1982, 295 (04): : 337 - 340
  • [3] Porosity and Fixed Points of Nonexpansive Set-Valued Maps
    Peng, Lihui
    Li, Chong
    [J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2014, 22 (02) : 333 - 348
  • [4] Porosity and Fixed Points of Nonexpansive Set-Valued Maps
    Lihui Peng
    Chong Li
    [J]. Set-Valued and Variational Analysis, 2014, 22 : 333 - 348
  • [5] Fixed points of soft-set valued and fuzzy set-valued maps with applications
    Mohammed, Shehu Shagari
    Azam, Akbar
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) : 3865 - 3877
  • [6] On the extension of approximations for set-valued maps and the repulsive fixed points
    Bader, R
    Gabor, G
    Kryszewski, W
    [J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1996, 10B (02): : 399 - 416
  • [7] Fixed points of hesitant fuzzy set-valued maps with applications
    Shagari, M. S.
    Azam, A.
    [J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (03) : 711 - 726
  • [8] APPROACHABILITY AND FIXED-POINTS FOR NONCONVEX SET-VALUED MAPS
    BENELMECHAIEKH, H
    DEGUIRE, P
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 170 (02) : 477 - 500
  • [9] Fixed points of set-valued maps in locally complete spaces
    Bosch C.
    García C.L.
    Gilsdorf T.
    Gómez-Wulschner C.
    Vera R.
    [J]. Fixed Point Theory and Applications, 2017 (1)
  • [10] ON FIXED-POINT THEOREMS FOR RANDOM SET-VALUED MAPS
    LIU, DS
    CHENG, SZ
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (03) : 309 - 323
12345