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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 03期

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

页码：831 / 838

页数：8

共 50 条

[41] REPRESENTATION OF SET-VALUED OPERATORS
PAPAGEORGIOU, NS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 292 (02) : 557 - 572
[42] Existence　Theorems　of　Random　Nash　Equilibrium　Points　for　Random　Set-valued　Maps
罗群
NORTHEASTERN MATHEMATICAL JOURNAL, 1997, (02) : 124 - 129
[43] Jointly measurable selections of condensing caratheodory set-valued mappings and its applications to random fixed points
Tarafdar, E
Watson, P
Yuan, XZ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (01) : 39 - 48
[44] ON RANDOM APPROXIMATIONS AND A RANDOM FIXED-POINT THEOREM FOR SET-VALUED MAPPINGS
SEHGAL, VM
SINGH, SP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (01) : 91 - 94
[45] Common fixed points of set-valued mappings in hyperconvex metric spaces
M. Balaj
E. D. Jorquera
M. A. Khamsi
Journal of Fixed Point Theory and Applications, 2018, 20
[46] FIXED-POINTS OF LOCALLY CONTRACTIVE AND NONEXPANSIVE SET-VALUED MAPPINGS
KUHFITTIG, PKF
PACIFIC JOURNAL OF MATHEMATICS, 1976, 65 (02) : 399 - 403
[47] APPROXIMATE FIXED POINTS OF NONEXPANSIVE SET-VALUED MAPPINGS IN UNBOUNDED SETS
Reich, Simeon
Zaslavski, Alexander J.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (09) : 1707 - 1716
[48] Fixed Points and Endpoints of Set-Valued Contractions in Cone Metric Spaces
Lin, Ing-Jer
Chen, Chi-Ming
Jovanovic, Mirko
Wu, Tzi-Huei
ABSTRACT AND APPLIED ANALYSIS, 2012,
[49] Endpoints and fixed points of set-valued contractions in cone metric spaces
Wardowski, Dariusz
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 512 - 516
[50] Generic Existence and Approximation of Fixed Points for Nonexpansive Set-valued Maps
Francesco S. de Blasi
Józef Myjak
Simeon Reich
Alexander J. Zaslavski
Set-Valued and Variational Analysis, 2009, 17 : 97 - 112

← 1 2 3 4 5 →