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: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6648993 |
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| _version_ | 1832563147365416960 |
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| author | Mi Zhou Xiao-Lan Liu Arslan Hojat Ansari Mukesh Kumar Jain Jia Deng |
| author_facet | Mi Zhou Xiao-Lan Liu Arslan Hojat Ansari Mukesh Kumar Jain Jia Deng |
| author_sort | Mi Zhou |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-51e01454ce4448eb859dbd8393105b82 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-51e01454ce4448eb859dbd8393105b822025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66489936648993Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric SpacesMi Zhou0Xiao-Lan Liu1Arslan Hojat Ansari2Mukesh Kumar Jain3Jia Deng4School of Science and Technology, University of Sanya, Sanya 572000, Hainan, ChinaCollege of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, Sichuan, ChinaDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranJawahar Navodaya Vidyalaya Udalguri, Udalguri, Assam, IndiaCollege of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, Sichuan, ChinaIn 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/6648993 |
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