Soft Fixed Point Theorems for the Soft Comparable Contractions

In this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The o...

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Main Authors: Chi-Ming Chen, Zhi-Hao Xu, Erdal Karapinar
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5554510
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author Chi-Ming Chen
Zhi-Hao Xu
Erdal Karapinar
author_facet Chi-Ming Chen
Zhi-Hao Xu
Erdal Karapinar
author_sort Chi-Ming Chen
collection DOAJ
description In this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent fixed point results in the literature.
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id doaj-art-d65d3c9a082d4fcd877c569c083b7d1e
institution Kabale University
issn 2314-8896
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-d65d3c9a082d4fcd877c569c083b7d1e2025-02-03T01:29:19ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55545105554510Soft Fixed Point Theorems for the Soft Comparable ContractionsChi-Ming Chen0Zhi-Hao Xu1Erdal Karapinar2Institute for Computational and Modeling Science, National Tsing Hua University, TaiwanInstitute for Computational and Modeling Science, National Tsing Hua University, TaiwanDivision of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, VietnamIn this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent fixed point results in the literature.http://dx.doi.org/10.1155/2021/5554510
spellingShingle Chi-Ming Chen
Zhi-Hao Xu
Erdal Karapinar
Soft Fixed Point Theorems for the Soft Comparable Contractions
Journal of Function Spaces
title Soft Fixed Point Theorems for the Soft Comparable Contractions
title_full Soft Fixed Point Theorems for the Soft Comparable Contractions
title_fullStr Soft Fixed Point Theorems for the Soft Comparable Contractions
title_full_unstemmed Soft Fixed Point Theorems for the Soft Comparable Contractions
title_short Soft Fixed Point Theorems for the Soft Comparable Contractions
title_sort soft fixed point theorems for the soft comparable contractions
url http://dx.doi.org/10.1155/2021/5554510
work_keys_str_mv AT chimingchen softfixedpointtheoremsforthesoftcomparablecontractions
AT zhihaoxu softfixedpointtheoremsforthesoftcomparablecontractions
AT erdalkarapinar softfixedpointtheoremsforthesoftcomparablecontractions