On Fixed Point Results in Controlled Metric Spaces

In this article, we introduce Reich type contractions and (α,F)-contractions in the class of controlled metric spaces and establish some new related fixed point theorems. Our results are generalizations of some known results of literature. Some examples and certain consequences are given to illustra...

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Main Authors: Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Hassen Aydi, Manuel De la Sen
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/2108167
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author Jamshaid Ahmad
Abdullah Eqal Al-Mazrooei
Hassen Aydi
Manuel De la Sen
author_facet Jamshaid Ahmad
Abdullah Eqal Al-Mazrooei
Hassen Aydi
Manuel De la Sen
author_sort Jamshaid Ahmad
collection DOAJ
description In this article, we introduce Reich type contractions and (α,F)-contractions in the class of controlled metric spaces and establish some new related fixed point theorems. Our results are generalizations of some known results of literature. Some examples and certain consequences are given to illustrate significance of presented results.
format Article
id doaj-art-0383650311e04ad1bc5c7d9a82563152
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-0383650311e04ad1bc5c7d9a825631522025-02-03T01:20:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/21081672108167On Fixed Point Results in Controlled Metric SpacesJamshaid Ahmad0Abdullah Eqal Al-Mazrooei1Hassen Aydi2Manuel De la Sen3Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaUniversity of Sousse, Higher Institute of Information Technology and Communication Techniques, H. Sousse 4000, TunisiaInstitute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa. Leioa (Bizkaia), P.O. Box 48940, SpainIn this article, we introduce Reich type contractions and (α,F)-contractions in the class of controlled metric spaces and establish some new related fixed point theorems. Our results are generalizations of some known results of literature. Some examples and certain consequences are given to illustrate significance of presented results.http://dx.doi.org/10.1155/2020/2108167
spellingShingle Jamshaid Ahmad
Abdullah Eqal Al-Mazrooei
Hassen Aydi
Manuel De la Sen
On Fixed Point Results in Controlled Metric Spaces
Journal of Function Spaces
title On Fixed Point Results in Controlled Metric Spaces
title_full On Fixed Point Results in Controlled Metric Spaces
title_fullStr On Fixed Point Results in Controlled Metric Spaces
title_full_unstemmed On Fixed Point Results in Controlled Metric Spaces
title_short On Fixed Point Results in Controlled Metric Spaces
title_sort on fixed point results in controlled metric spaces
url http://dx.doi.org/10.1155/2020/2108167
work_keys_str_mv AT jamshaidahmad onfixedpointresultsincontrolledmetricspaces
AT abdullaheqalalmazrooei onfixedpointresultsincontrolledmetricspaces
AT hassenaydi onfixedpointresultsincontrolledmetricspaces
AT manueldelasen onfixedpointresultsincontrolledmetricspaces