Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces

In this article, we apply common fixed point results in incomplete metric spaces to examine the existence of a unique common solution for the following systems of Urysohn integral equations and Volterra-Hammerstein integral equations, respectively: [Formula: see text] where [Formula: see text] ; [Fo...

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Detalles Bibliográficos
Autores principales: Bahadur Zada, Mian, Sarwar, Muhammad, Radenović, Stojan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5243923/
https://www.ncbi.nlm.nih.gov/pubmed/28163547
http://dx.doi.org/10.1186/s13660-016-1286-7
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author Bahadur Zada, Mian
Sarwar, Muhammad
Radenović, Stojan
author_facet Bahadur Zada, Mian
Sarwar, Muhammad
Radenović, Stojan
author_sort Bahadur Zada, Mian
collection PubMed
description In this article, we apply common fixed point results in incomplete metric spaces to examine the existence of a unique common solution for the following systems of Urysohn integral equations and Volterra-Hammerstein integral equations, respectively: [Formula: see text] where [Formula: see text] ; [Formula: see text] and [Formula: see text] , [Formula: see text] and [Formula: see text] where [Formula: see text] , [Formula: see text] , u, [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] and [Formula: see text] , [Formula: see text] , are real-valued measurable functions both in s and r on [Formula: see text] .
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spelling pubmed-52439232017-02-01 Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces Bahadur Zada, Mian Sarwar, Muhammad Radenović, Stojan J Inequal Appl Research In this article, we apply common fixed point results in incomplete metric spaces to examine the existence of a unique common solution for the following systems of Urysohn integral equations and Volterra-Hammerstein integral equations, respectively: [Formula: see text] where [Formula: see text] ; [Formula: see text] and [Formula: see text] , [Formula: see text] and [Formula: see text] where [Formula: see text] , [Formula: see text] , u, [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] and [Formula: see text] , [Formula: see text] , are real-valued measurable functions both in s and r on [Formula: see text] . Springer International Publishing 2017-01-18 2017 /pmc/articles/PMC5243923/ /pubmed/28163547 http://dx.doi.org/10.1186/s13660-016-1286-7 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Bahadur Zada, Mian
Sarwar, Muhammad
Radenović, Stojan
Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
title Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
title_full Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
title_fullStr Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
title_full_unstemmed Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
title_short Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
title_sort existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5243923/
https://www.ncbi.nlm.nih.gov/pubmed/28163547
http://dx.doi.org/10.1186/s13660-016-1286-7
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AT sarwarmuhammad existenceofuniquecommonsolutiontothesystemofnonlinearintegralequationsviafixedpointresultsinincompletemetricspaces
AT radenovicstojan existenceofuniquecommonsolutiontothesystemofnonlinearintegralequationsviafixedpointresultsinincompletemetricspaces

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