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

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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Bibliographic Details
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:
Function weighted L-R-complete dislocated quasi-metric spaces
Fixed point
Set-valued mappings
Online Access:https://doi.org/10.1186/s13662-021-03458-x
Description
Summary: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).
ISSN:1687-1847

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