Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces

In this paper, we firstly introduce a new notion of inverse Ck−class functions which extends the notion of inverse C−class functions introduced by Saleem et al., 2018. Secondly, some common fixed point theorems are stated under some compatible conditions such as weak semicompatible of type A, weak s...

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Main Authors:	Mi Zhou, Xiao-Lan Liu, Arslan Hojat Ansari, Mukesh Kumar Jain, Jia Deng
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2021/6648993

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spelling	doaj-51e01454ce4448eb859dbd8393105b822021-05-03T00:00:30ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/6648993Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric SpacesMi Zhou0Xiao-Lan Liu1Arslan Hojat Ansari2Mukesh Kumar Jain3Jia Deng4School of Science and TechnologyCollege of Mathematics and StatisticsDepartment of MathematicsJawahar Navodaya Vidyalaya UdalguriCollege of Mathematics and StatisticsIn this paper, we firstly introduce a new notion of inverse Ck−class functions which extends the notion of inverse C−class functions introduced by Saleem et al., 2018. Secondly, some common fixed point theorems are stated under some compatible conditions such as weak semicompatible of type A, weak semicompatibility, and conditional semicompatibility in metric spaces. Moreover, we introduce a new kind of compatibility called Sτ−compatibility which is weaker than E.A. property and also present a common fixed point theorem in metric spaces via inverse Ck−class functions. Some examples are provided to support our results.http://dx.doi.org/10.1155/2021/6648993
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mi Zhou Xiao-Lan Liu Arslan Hojat Ansari Mukesh Kumar Jain Jia Deng
spellingShingle	Mi Zhou Xiao-Lan Liu Arslan Hojat Ansari Mukesh Kumar Jain Jia Deng Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces Journal of Mathematics
author_facet	Mi Zhou Xiao-Lan Liu Arslan Hojat Ansari Mukesh Kumar Jain Jia Deng
author_sort	Mi Zhou
title	Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces
title_short	Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces
title_full	Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces
title_fullStr	Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces
title_full_unstemmed	Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces
title_sort	common fixed point theorems via inverse ck− class functions in metric spaces
publisher	Hindawi Limited
series	Journal of Mathematics
issn	2314-4785
publishDate	2021-01-01
description	In this paper, we firstly introduce a new notion of inverse Ck−class functions which extends the notion of inverse C−class functions introduced by Saleem et al., 2018. Secondly, some common fixed point theorems are stated under some compatible conditions such as weak semicompatible of type A, weak semicompatibility, and conditional semicompatibility in metric spaces. Moreover, we introduce a new kind of compatibility called Sτ−compatibility which is weaker than E.A. property and also present a common fixed point theorem in metric spaces via inverse Ck−class functions. Some examples are provided to support our results.
url	http://dx.doi.org/10.1155/2021/6648993
work_keys_str_mv	AT mizhou commonfixedpointtheoremsviainverseckclassfunctionsinmetricspaces AT xiaolanliu commonfixedpointtheoremsviainverseckclassfunctionsinmetricspaces AT arslanhojatansari commonfixedpointtheoremsviainverseckclassfunctionsinmetricspaces AT mukeshkumarjain commonfixedpointtheoremsviainverseckclassfunctionsinmetricspaces AT jiadeng commonfixedpointtheoremsviainverseckclassfunctionsinmetricspaces
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Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces

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