A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces

A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces

In this paper we consider a kind of Geraghty contractions by using <inline-formula><math display="inline"><semantics><mrow><mi>m</mi><mi>w</mi></mrow></semantics></math></inline-formula>-distances in the setting of com...

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Main Authors: Carmen Alegre, Andreea Fulga, Erdal Karapinar, Pedro Tirado
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
fixed point
metric space
quasi-metric space
Online Access:https://www.mdpi.com/2227-7390/8/9/1437
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spelling doaj-a8c9f0f6a39c4fb1a80b627c7ab6390f2020-11-25T03:52:51ZengMDPI AGMathematics2227-73902020-08-0181437143710.3390/math8091437A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric SpacesCarmen Alegre0Andreea Fulga1Erdal Karapinar2Pedro Tirado3Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 Valencia, SpainDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaInstitute of Research and Development Duy Tan University, Da Nang 550000, VietnamInstituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 Valencia, SpainIn this paper we consider a kind of Geraghty contractions by using <inline-formula><math display="inline"><semantics><mrow><mi>m</mi><mi>w</mi></mrow></semantics></math></inline-formula>-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.https://www.mdpi.com/2227-7390/8/9/1437fixed pointmetric spacequasi-metric space
collection DOAJ
language English
format Article
sources DOAJ
author Carmen Alegre
Andreea Fulga
Erdal Karapinar
Pedro Tirado
spellingShingle Carmen Alegre
Andreea Fulga
Erdal Karapinar
Pedro Tirado
A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces
Mathematics
fixed point
metric space
quasi-metric space
author_facet Carmen Alegre
Andreea Fulga
Erdal Karapinar
Pedro Tirado
author_sort Carmen Alegre
title A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces
title_short A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces
title_full A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces
title_fullStr A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces
title_full_unstemmed A Discussion on <i>p</i>-Geraghty Contraction on <i>mw</i>-Quasi-Metric Spaces
title_sort discussion on <i>p</i>-geraghty contraction on <i>mw</i>-quasi-metric spaces
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-08-01
description In this paper we consider a kind of Geraghty contractions by using <inline-formula><math display="inline"><semantics><mrow><mi>m</mi><mi>w</mi></mrow></semantics></math></inline-formula>-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.
topic fixed point
metric space
quasi-metric space
url https://www.mdpi.com/2227-7390/8/9/1437
work_keys_str_mv AT carmenalegre adiscussiononipigeraghtycontractiononimwiquasimetricspaces
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