Common random fixed points of compatible random operators
type: Item
instance of: scholarly article
title: Common random fixed points of compatible random operators
zbMATH Open document ID: 1121.47046
DOI: 10.1155/IJMMS/2006/23486
author: Ismat Beg
author: M. Abbas
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-13T00:00:00Z
full work available at URL: https://eudml.org/doc/53456
review text: Random fixed point theorems are stochastic generalization of classical fixed point theorems. \textit{A.\,T.\thinspace Bharucha--Reid} [Bull.\ Am.\ Math.\ Soc.\ 82, 641--657 (1976; Zbl 0339.60061)] gave wings to this theory. \textit{I.\,Beg} and \textit{N.\,Shahzad} [see, e.\,g., Boll.\ Unione Mat.\ Ital., VII.\ Ser., A 9, No.\,3, 493--503 (1995; Zbl 0857.47039)] used different iteration processes to obtain common random fixed points. The aim of this paper is to study the necessary conditions for the convergence of random iteration scheme to common random fixed points ot two pairs of compatible random operators satisfying Meir--Keeler type conditions in Polish spaces.
reviewed by: Anatoliy Swishchuk
Mathematics Subject Classification ID: 47H40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 60H25
zbMATH DE Number: 5164016
zbMATH Keywords: random fixed point
zbMATH Keywords: random operators
zbMATH Keywords: Meir-Keeler type conditions
zbMATH Keywords: Polish space
Wikidata QID: Q60499808
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5164016