On the various type of Mappings in S-Menger space with application
Keywords:
S-Menger Space, Fixed Point, Compatible Maps, Weak Compatible Maps, Semi-compatible Maps, Compatible Maps, The Property (E.A.).Abstract
In the present paper, we investigate various mapping like compatible mappings, weakly compatible mappings, semi-compatible mappings, and mappings satisfying the property (E.A.). By employing these concepts, a common fixed-point theorem is established in the framework of S-Menger spaces. Our result extends the corresponding theorem of Aalam et al. [1] and generalizes it to the setting of S-Menger spaces. Furthermore, examples are provided to demonstrate the applicability and effectiveness of the established result.
