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

Author

Listed:
  • Mi Zhou
  • Xiao-Lan Liu
  • Arslan Hojat Ansari
  • Mukesh Kumar Jain
  • Jia Deng
  • Naeem Saleem

Abstract

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.

Suggested Citation

  • Mi Zhou & Xiao-Lan Liu & Arslan Hojat Ansari & Mukesh Kumar Jain & Jia Deng & Naeem Saleem, 2021. "Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-25, April.
    • Handle: RePEc:hin:jjmath:6648993
    DOI: 10.1155/2021/6648993
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    Cited by:

    1. Xiaolan Liu & Mi Zhou & Arslan Hojat Ansari & Naeem Saleem & Mukesh Kumar Jain, 2023. "Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application," Mathematics, MDPI, vol. 12(1), pages 1-16, December.

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