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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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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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 |