Fixed Point Theorems of Wardowski Type Mappings in $S_{b}$-Metric Spaces
Muhammad Anwar, Dur-e-Shehwar Sagheer, Rashid Ali, Samina B atul
Keywords:
α-F-admissible pairs, α-F-contractive mapping, S-Metric Space, Sb-metric space, fixed pointAbstract
In this paper, we introduced the concept of $(\alpha,F)$-contractive pair in the structure of $S_{b}$-metric spaces. And we generalized the Wardowski type mappings in this structure and proved the fixed point and common fixed point theorems for $(\alpha,F)$-contractive pair with some suitable conditions. Furthermore, we give some examples for the guarantee of the main theorems.