Fixed Point of Generalized Weak Contraction in b-Metric Spaces

In this manuscript, a class of generalized ψ,α,β-weak contraction is introduced and some fixed point theorems in the framework of b-metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an applicatio...

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Main Authors: Maryam Iqbal, Afshan Batool, Ozgur Ege, Manuel de la Sen
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/2042162
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author Maryam Iqbal
Afshan Batool
Ozgur Ege
Manuel de la Sen
author_facet Maryam Iqbal
Afshan Batool
Ozgur Ege
Manuel de la Sen
author_sort Maryam Iqbal
collection DOAJ
description In this manuscript, a class of generalized ψ,α,β-weak contraction is introduced and some fixed point theorems in the framework of b-metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.
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id doaj-art-15c6223210494143a0b17b0574e11843
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-15c6223210494143a0b17b0574e118432025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/20421622042162Fixed Point of Generalized Weak Contraction in b-Metric SpacesMaryam Iqbal0Afshan Batool1Ozgur Ege2Manuel de la Sen3Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi, PakistanDepartment of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi, PakistanDepartment of Mathematics, Faculty of Science, Ege University, Bornova, 35100 Izmir, TurkeyInstitute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, SpainIn this manuscript, a class of generalized ψ,α,β-weak contraction is introduced and some fixed point theorems in the framework of b-metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.http://dx.doi.org/10.1155/2021/2042162
spellingShingle Maryam Iqbal
Afshan Batool
Ozgur Ege
Manuel de la Sen
Fixed Point of Generalized Weak Contraction in b-Metric Spaces
Journal of Function Spaces
title Fixed Point of Generalized Weak Contraction in b-Metric Spaces
title_full Fixed Point of Generalized Weak Contraction in b-Metric Spaces
title_fullStr Fixed Point of Generalized Weak Contraction in b-Metric Spaces
title_full_unstemmed Fixed Point of Generalized Weak Contraction in b-Metric Spaces
title_short Fixed Point of Generalized Weak Contraction in b-Metric Spaces
title_sort fixed point of generalized weak contraction in b metric spaces
url http://dx.doi.org/10.1155/2021/2042162
work_keys_str_mv AT maryamiqbal fixedpointofgeneralizedweakcontractioninbmetricspaces
AT afshanbatool fixedpointofgeneralizedweakcontractioninbmetricspaces
AT ozgurege fixedpointofgeneralizedweakcontractioninbmetricspaces
AT manueldelasen fixedpointofgeneralizedweakcontractioninbmetricspaces