New Fixed Point Results in F-Quasi-Metric Spaces and an Application

The main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. Also, a Hausdorff δ-distance in these spaces is introduced, and a coincidence point theorem regarding this distance is proved. We also pre...

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Main Authors: Ehsan Lotfali Ghasab, Hamid Majani, Erdal Karapinar, Ghasem Soleimani Rad
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/9452350
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author Ehsan Lotfali Ghasab
Hamid Majani
Erdal Karapinar
Ghasem Soleimani Rad
author_facet Ehsan Lotfali Ghasab
Hamid Majani
Erdal Karapinar
Ghasem Soleimani Rad
author_sort Ehsan Lotfali Ghasab
collection DOAJ
description The main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. Also, a Hausdorff δ-distance in these spaces is introduced, and a coincidence point theorem regarding this distance is proved. We also present some examples for the validity of the given results and consider an application to the Volterra-type integral equation.
format Article
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institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-37ab21edd134412190a915822586b1ff2025-02-03T01:27:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/94523509452350New Fixed Point Results in F-Quasi-Metric Spaces and an ApplicationEhsan Lotfali Ghasab0Hamid Majani1Erdal Karapinar2Ghasem Soleimani Rad3Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, IranDepartment of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, IranDepartment of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, TaiwanYoung Researchers and Elite club, West Tehran Branch, Islamic Azad University, Tehran, IranThe main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. Also, a Hausdorff δ-distance in these spaces is introduced, and a coincidence point theorem regarding this distance is proved. We also present some examples for the validity of the given results and consider an application to the Volterra-type integral equation.http://dx.doi.org/10.1155/2020/9452350
spellingShingle Ehsan Lotfali Ghasab
Hamid Majani
Erdal Karapinar
Ghasem Soleimani Rad
New Fixed Point Results in F-Quasi-Metric Spaces and an Application
Advances in Mathematical Physics
title New Fixed Point Results in F-Quasi-Metric Spaces and an Application
title_full New Fixed Point Results in F-Quasi-Metric Spaces and an Application
title_fullStr New Fixed Point Results in F-Quasi-Metric Spaces and an Application
title_full_unstemmed New Fixed Point Results in F-Quasi-Metric Spaces and an Application
title_short New Fixed Point Results in F-Quasi-Metric Spaces and an Application
title_sort new fixed point results in f quasi metric spaces and an application
url http://dx.doi.org/10.1155/2020/9452350
work_keys_str_mv AT ehsanlotfalighasab newfixedpointresultsinfquasimetricspacesandanapplication
AT hamidmajani newfixedpointresultsinfquasimetricspacesandanapplication
AT erdalkarapinar newfixedpointresultsinfquasimetricspacesandanapplication
AT ghasemsoleimanirad newfixedpointresultsinfquasimetricspacesandanapplication