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

Mi Zhou*, Xiao Lan Liu, Arslan Hojat Ansari, Mukesh Kumar Jain, Jia Deng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Article number6648993
JournalJournal of Mathematics
Volume2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

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