#3 – Sτ-Compatibility and Fixed Point Theorems via Inverse C-Class Functions

Mukesh Kumar Jain, Erdal Karapinar, Hassen Aydi, and Ravi P. Agarwal.

Sτ-Compatibility and Fixed Point Theorems via Inverse C-Class Functions. Dynamic Systems and Applications 30 (2021) No.1, 33-47

https://doi.org/10.46719/dsa20213013

ABSTRACT.
In this paper, we introduce a new class of compatible mappings, called Sτ-compatible mappings and prove some related common fixed point theorems for six  mappings involving the notion of`inverse C-class functions in the framework of b-metric spaces. We also present some corollaries that are indeed with shorter  proofs  and are improved form of some recent results in literature.  

AMS (MOS) Subject Classification. 46T99; 47H10; 54H25