Random fixed point equations and inverse problems using ``collage method'' for contraction mappings
type: Item
instance of: scholarly article
title: Random fixed point equations and inverse problems using ``collage method'' for contraction mappings
zbMATH Open document ID: 1121.47048
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-07-19T00:00:00Z
review text: The paper is concerned with direct and inverse problems for the random fixed point equations \(T(\omega,x(\omega))=x(\omega)\), where \(T: \Omega \times X \to X\) is a given operator, \(\Omega\) is a probability space and \(X\) is a Polish metric space. Applications to random integral equations and to random iterated function systems are considered.
reviewed by: Mikhail Yu. Kokurin
Mathematics Subject Classification ID: 47H40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 47N30
zbMATH DE Number: 5173010
zbMATH Keywords: random fixed point equations
zbMATH Keywords: collage theorem
zbMATH Keywords: random integral equations
zbMATH Keywords: inverse problems
zbMATH Keywords: random iterated function systems
author: Herb Kunze
author: Davide La Torre
author: Edward R. Vrscay
MaRDI profile type: Publication
full work available at URL: j.jmaa.2007.01.028
OpenAlex ID: W2047011931
cites work: Solution of an inverse problem for fractals and other sets
cites work: Random integral equations
cites work: Continuity of Attractors and Invariant Measures for Iterated Function Systems
cites work: Solving the inverse problem for measures using iterated function systems: a new approach
cites work: Continuity properties of attractors for iterated fuzzy set systems
cites work: Reducing random transforms
cites work: Measurable relations
cites work: Random fixed point theorems with an application to random differential equations in Banach spaces
cites work: A random fixed point theorem for a multivalued contraction mapping
cites work: Q3997056
cites work: Solving inverse problems for ordinary differential equations using the Picard contraction mapping
cites work: Random Approximations and Random Fixed Point Theorems for Continuous 1-Set- Contractive Random Maps
cites work: Some random approximations and random fixed point theorems for 1-set-contractive random operators
cites work: Random fixed points and random differential inclusions
cites work: Random fixed point theory in spaces with two metrics
cites work: A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces
cites work: Random fixed points of pseudo-contractive random operators
cites work: Random fixed points of \(K\)-set- and pseudo-contractive random maps
cites work: Random fixed points of set-valued maps
cites work: Random equations
cites work: Random fixed-point theorems and approximation in cones
cites work: Q4495266
DOI: 10.1016/J.JMAA.2007.01.028
description: scientific article; zbMATH DE number 5173010