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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Online Access: | https://doi.org/10.1186/s13662-021-03458-x |
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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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1721357470601838592 |