Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications

Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications

We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in p...

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Bibliographic Details
Main Authors: Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Heliyon
Subjects:
Fixed point
Modular metric spaces
Barbashin-type integrodifferential equation
Existence and uniqueness
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844020316285
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spelling doaj-32a40b4fb2c64d72905e9d129bdf2b432020-11-25T03:21:57ZengElsevierHeliyon2405-84402020-08-0168e04785Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applicationsGodwin Amechi Okeke0Daniel Francis1Manuel de la Sen2Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526 Owerri, Imo State, Nigeria; Corresponding author.Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526 Owerri, Imo State, NigeriaInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia) - P.O. Box 644- Bilbao, Barrio Sarriena, 48940- Leioa, SpainWe prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in proving the existence and uniqueness of solution of nonlinear Barbashin-type integrodifferential equation satisfying a given initial value problem in modular metric space Xω.http://www.sciencedirect.com/science/article/pii/S2405844020316285Fixed pointModular metric spacesBarbashin-type integrodifferential equationExistence and uniqueness
collection DOAJ
language English
format Article
sources DOAJ
author Godwin Amechi Okeke
Daniel Francis
Manuel de la Sen
spellingShingle Godwin Amechi Okeke
Daniel Francis
Manuel de la Sen
Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
Heliyon
Fixed point
Modular metric spaces
Barbashin-type integrodifferential equation
Existence and uniqueness
author_facet Godwin Amechi Okeke
Daniel Francis
Manuel de la Sen
author_sort Godwin Amechi Okeke
title Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
title_short Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
title_full Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
title_fullStr Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
title_full_unstemmed Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
title_sort some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications
publisher Elsevier
series Heliyon
issn 2405-8440
publishDate 2020-08-01
description We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in proving the existence and uniqueness of solution of nonlinear Barbashin-type integrodifferential equation satisfying a given initial value problem in modular metric space Xω.
topic Fixed point
Modular metric spaces
Barbashin-type integrodifferential equation
Existence and uniqueness
url http://www.sciencedirect.com/science/article/pii/S2405844020316285
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AT danielfrancis somefixedpointtheoremsformappingssatisfyingrationalinequalityinmodularmetricspaceswithapplications
AT manueldelasen somefixedpointtheoremsformappingssatisfyingrationalinequalityinmodularmetricspaceswithapplications
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