Common Fixed Point Theorems via Inverse Ck− Class Functions in Metric Spaces. (21st April 2021)

• Record Type: Journal Article
• Authors: Zhou, Mi; Liu, Xiao-Lan; Hojat Ansari, Arslan; Jain, Mukesh Kumar; Deng, Jia
• Other Names: Saleem Naeem Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-04-21
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6648993
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we firstly introduce a new notion of inverse C k − 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 S τ − compatibility which is weaker than E . A . property and also present a common fixed point theorem in metric spaces via inverse C k − class functions. Some examples are provided to support our results.