Existence of a common solution to systems of integral equations via fixed point results

The goal of this article is to prove some coupled common fixed point results by using weakly increasing mappings with two variables. Several examples indicating the usability are provided. Also, we use the results obtained to demonstrate the existence of a common solution to a system of integral equ...

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Bibliographic Details
Main Authors: Işık Hüseyin, Park Choonkil
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0024/math-2020-0024.xml?format=INT
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spelling doaj-ddf4546e371d4cd9a6d80171fc2678992021-02-28T21:53:20ZengDe GruyterOpen Mathematics2391-54552020-05-0118124926110.1515/math-2020-0024math-2020-0024Existence of a common solution to systems of integral equations via fixed point resultsIşık Hüseyin0Park Choonkil1Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, Muş 49250, TurkeyResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaThe goal of this article is to prove some coupled common fixed point results by using weakly increasing mappings with two variables. Several examples indicating the usability are provided. Also, we use the results obtained to demonstrate the existence of a common solution to a system of integral equations.http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0024/math-2020-0024.xml?format=INTcoupled common fixed pointweakly increasing mappingpartially ordered metric spaceintegral equation47h1054h25
collection DOAJ
language English
format Article
sources DOAJ
author Işık Hüseyin
Park Choonkil
spellingShingle Işık Hüseyin
Park Choonkil
Existence of a common solution to systems of integral equations via fixed point results
Open Mathematics
coupled common fixed point
weakly increasing mapping
partially ordered metric space
integral equation
47h10
54h25
author_facet Işık Hüseyin
Park Choonkil
author_sort Işık Hüseyin
title Existence of a common solution to systems of integral equations via fixed point results
title_short Existence of a common solution to systems of integral equations via fixed point results
title_full Existence of a common solution to systems of integral equations via fixed point results
title_fullStr Existence of a common solution to systems of integral equations via fixed point results
title_full_unstemmed Existence of a common solution to systems of integral equations via fixed point results
title_sort existence of a common solution to systems of integral equations via fixed point results
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2020-05-01
description The goal of this article is to prove some coupled common fixed point results by using weakly increasing mappings with two variables. Several examples indicating the usability are provided. Also, we use the results obtained to demonstrate the existence of a common solution to a system of integral equations.
topic coupled common fixed point
weakly increasing mapping
partially ordered metric space
integral equation
47h10
54h25
url http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0024/math-2020-0024.xml?format=INT
work_keys_str_mv AT isıkhuseyin existenceofacommonsolutiontosystemsofintegralequationsviafixedpointresults
AT parkchoonkil existenceofacommonsolutiontosystemsofintegralequationsviafixedpointresults
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