\(\mathcal{J} \mathcal{H}\)-operator pairs with application to functional equations arising in dynamic programming
type: Item
instance of: scholarly article
title: \(\mathcal{J} \mathcal{H}\)-operator pairs with application to functional equations arising in dynamic programming
zbMATH Open document ID: 1472.47047
DOI: 10.1155/2014/283158
author: Abdolrahman Razani
author: Bahman Moeini
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Some common fixed point theorems for \(\mathcal{J} \mathcal{H}\)-operator pairs are proved. As an application, the existence and uniqueness of the common solution for systems of functional equations arising in dynamic programming are discussed. Also, an example to validate all the conditions of the main result is presented.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 90C39
zbMATH DE Number: 7022085
zbMATH Keywords: common fixed point theorems
zbMATH Keywords: \(\mathcal{J} \mathcal{H}\)-operator pairs
zbMATH Keywords: functional equations
zbMATH Keywords: dynamic programming
Wikidata QID: Q59037643
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/283158
OpenAlex ID: W2055813044
cites work: Compatible mapping and common fixed points
cites work: Fixed Points Via "Biased Maps"
cites work: Compatible mappings of type (B) and common fixed point theorems of Greguš type
cites work: Q4867913
cites work: Q4235356
cites work: Q4033067
cites work: Common fixed points for \(\mathcal {JH}\)-operators and occasionally weakly biased pairs under relaxed conditions
cites work: Common fixed point theorems for generalized \(\mathcal{JH}\)-operator classes and invariant approximations
cites work: Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings
cites work: Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions
cites work: SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING
cites work: Some existence theorems for functional equations and system of functional equations arising in dynamic programming
cites work: Functional equations in dynamic programming
cites work: Some existence theorems of common and coincidence solutions for a class of systems of functional equations arising in dynamic programming
cites work: Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming
cites work: Banach operator pairs and common fixed points in hyperconvex metric spaces
cites work: Common fixed points for \(\mathcal P\)-operator pair with applications
cites work: Common fixed points of biased maps of type \((A)\) and applications
cites work: On some generalizations of commuting mappings
cites work: Fixed point theorems by altering distances between the points
cites work: A common fixed point theorem and its application to nonlinear integral equations
cites work: Q3599361
description: scientific article; zbMATH DE number 7022085