Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure

Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure

Abstract Applying the method consisting of a combination of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure, that is, to a discrete singular equation of which the denominator contains another discrete singular operator, we prove that the equa...

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Bibliographic Details
Main Authors: Minoru Tabata, Nobuoki Eshima
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Fixed Point Theory and Applications
Subjects:
Positive solution
Set-valued operator
Discrete singular equation
The Brouwer fixed-point theorem
The Kakutani fixed-point theorem
Online Access:http://link.springer.com/article/10.1186/s13663-018-0649-9
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spelling doaj-6e724800a2bc499bb8c44e982013c8f22020-11-25T02:06:53ZengSpringerOpenFixed Point Theory and Applications1687-18122018-11-012018111410.1186/s13663-018-0649-9Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structureMinoru Tabata0Nobuoki Eshima1Department of Mathematical Sciences, Osaka Prefecture UniversityCenter for Educational Outreach and Admissions, Kyoto UniversityAbstract Applying the method consisting of a combination of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure, that is, to a discrete singular equation of which the denominator contains another discrete singular operator, we prove that the equation has a solution.http://link.springer.com/article/10.1186/s13663-018-0649-9Positive solutionSet-valued operatorDiscrete singular equationThe Brouwer fixed-point theoremThe Kakutani fixed-point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Minoru Tabata
Nobuoki Eshima
spellingShingle Minoru Tabata
Nobuoki Eshima
Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
Fixed Point Theory and Applications
Positive solution
Set-valued operator
Discrete singular equation
The Brouwer fixed-point theorem
The Kakutani fixed-point theorem
author_facet Minoru Tabata
Nobuoki Eshima
author_sort Minoru Tabata
title Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
title_short Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
title_full Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
title_fullStr Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
title_full_unstemmed Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure
title_sort application of the brouwer and the kakutani fixed-point theorems to a discrete equation with a double singular structure
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1812
publishDate 2018-11-01
description Abstract Applying the method consisting of a combination of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure, that is, to a discrete singular equation of which the denominator contains another discrete singular operator, we prove that the equation has a solution.
topic Positive solution
Set-valued operator
Discrete singular equation
The Brouwer fixed-point theorem
The Kakutani fixed-point theorem
url http://link.springer.com/article/10.1186/s13663-018-0649-9
work_keys_str_mv AT minorutabata applicationofthebrouwerandthekakutanifixedpointtheoremstoadiscreteequationwithadoublesingularstructure
AT nobuokieshima applicationofthebrouwerandthekakutanifixedpointtheoremstoadiscreteequationwithadoublesingularstructure
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