A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings

A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings

The objective of this manuscript is to present new tripled fixed point results for mixed-monotone mappings by a pivotal lemma in the setting of partially ordered complete metric spaces. Our outcomes sum up, enrich, and generalize several results in the current writing. Moreover, some examples have b...

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Main Authors: Hasanen A. Hammad, Rashwan A. Rashwan, Manuel De la Sen
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9925073
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spelling doaj-0cdb8e9029ae4c15a72ab60016d4844a2021-10-04T01:59:23ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9925073A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone MappingsHasanen A. Hammad0Rashwan A. Rashwan1Manuel De la Sen2Department of MathematicsDepartment of MathematicsInstitute of Research and Development of Processes University of the Basque CountryThe objective of this manuscript is to present new tripled fixed point results for mixed-monotone mappings by a pivotal lemma in the setting of partially ordered complete metric spaces. Our outcomes sum up, enrich, and generalize several results in the current writing. Moreover, some examples have been discussed to strengthen and support our theoretical results. Finally, the theoretical results are applied to study the existence and uniqueness of the solution to an integro-differential equation.http://dx.doi.org/10.1155/2021/9925073
collection DOAJ
language English
format Article
sources DOAJ
author Hasanen A. Hammad
Rashwan A. Rashwan
Manuel De la Sen
spellingShingle Hasanen A. Hammad
Rashwan A. Rashwan
Manuel De la Sen
A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings
Journal of Function Spaces
author_facet Hasanen A. Hammad
Rashwan A. Rashwan
Manuel De la Sen
author_sort Hasanen A. Hammad
title A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings
title_short A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings
title_full A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings
title_fullStr A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings
title_full_unstemmed A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings
title_sort fixed point technique for solving an integro-differential equation using mixed-monotone mappings
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description The objective of this manuscript is to present new tripled fixed point results for mixed-monotone mappings by a pivotal lemma in the setting of partially ordered complete metric spaces. Our outcomes sum up, enrich, and generalize several results in the current writing. Moreover, some examples have been discussed to strengthen and support our theoretical results. Finally, the theoretical results are applied to study the existence and uniqueness of the solution to an integro-differential equation.
url http://dx.doi.org/10.1155/2021/9925073
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AT manueldelasen afixedpointtechniqueforsolvinganintegrodifferentialequationusingmixedmonotonemappings
AT hasanenahammad fixedpointtechniqueforsolvinganintegrodifferentialequationusingmixedmonotonemappings
AT rashwanarashwan fixedpointtechniqueforsolvinganintegrodifferentialequationusingmixedmonotonemappings
AT manueldelasen fixedpointtechniqueforsolvinganintegrodifferentialequationusingmixedmonotonemappings
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