Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application

Abstract The objective of this article is to introduce function weighted L-R-complete dislocated quasi-metric spaces and to present fixed point results fulfilling generalized rational type F-contraction for a multivalued mapping in these spaces. A suitable example confirms our results. We also prese...

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Main Authors: Abdullah Shoaib, Qasim Mahmood, Aqeel Shahzad, Mohd Salmi Md Noorani, Stojan Radenović
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03458-x
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spelling doaj-03adc5d0c7964abfa8cc9e99a743f8042021-06-27T11:41:11ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021111510.1186/s13662-021-03458-xFixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an applicationAbdullah Shoaib0Qasim Mahmood1Aqeel Shahzad2Mohd Salmi Md Noorani3Stojan Radenović4Department of Mathematics and Statistics, Riphah International UniversityDepartment of Mathematics and Statistics, Riphah International UniversityDepartment of Mathematics and Statistics, Riphah International UniversityDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan MalaysiaFaculty of Mechanical Engineering, University of BelgradeAbstract The objective of this article is to introduce function weighted L-R-complete dislocated quasi-metric spaces and to present fixed point results fulfilling generalized rational type F-contraction for a multivalued mapping in these spaces. A suitable example confirms our results. We also present an application for a generalized class of nonlinear integral equations. Our results generalize and extend the results of Karapınar et al. (IEEE Access 7:89026–89032, 2019).https://doi.org/10.1186/s13662-021-03458-xFunction weighted L-R-complete dislocated quasi-metric spacesFixed pointSet-valued mappings
collection DOAJ
language English
format Article
sources DOAJ
author Abdullah Shoaib
Qasim Mahmood
Aqeel Shahzad
Mohd Salmi Md Noorani
Stojan Radenović
spellingShingle Abdullah Shoaib
Qasim Mahmood
Aqeel Shahzad
Mohd Salmi Md Noorani
Stojan Radenović
Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
Advances in Difference Equations
Function weighted L-R-complete dislocated quasi-metric spaces
Fixed point
Set-valued mappings
author_facet Abdullah Shoaib
Qasim Mahmood
Aqeel Shahzad
Mohd Salmi Md Noorani
Stojan Radenović
author_sort Abdullah Shoaib
title Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
title_short Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
title_full Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
title_fullStr Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
title_full_unstemmed Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
title_sort fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-06-01
description Abstract The objective of this article is to introduce function weighted L-R-complete dislocated quasi-metric spaces and to present fixed point results fulfilling generalized rational type F-contraction for a multivalued mapping in these spaces. A suitable example confirms our results. We also present an application for a generalized class of nonlinear integral equations. Our results generalize and extend the results of Karapınar et al. (IEEE Access 7:89026–89032, 2019).
topic Function weighted L-R-complete dislocated quasi-metric spaces
Fixed point
Set-valued mappings
url https://doi.org/10.1186/s13662-021-03458-x
work_keys_str_mv AT abdullahshoaib fixedpointresultsforrationalcontractioninfunctionweighteddislocatedquasimetricspaceswithanapplication
AT qasimmahmood fixedpointresultsforrationalcontractioninfunctionweighteddislocatedquasimetricspaceswithanapplication
AT aqeelshahzad fixedpointresultsforrationalcontractioninfunctionweighteddislocatedquasimetricspaceswithanapplication
AT mohdsalmimdnoorani fixedpointresultsforrationalcontractioninfunctionweighteddislocatedquasimetricspaceswithanapplication
AT stojanradenovic fixedpointresultsforrationalcontractioninfunctionweighteddislocatedquasimetricspaceswithanapplication
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