On fixed-point theorem in Intuitionistic Menger Spaces

Abstract

In the present paper, we investigate various classes of mappings, including compatibility of type (E), S-compatible mappings of type (E), and weakly subsequentially continuous mappings in the framework of Intuitionistic -Menger spaces. By employing these newly defined concepts, we establish several common fixed-point theorems under appropriate conditions. The obtained results significantly extend and generalize a number of existing fixed-point theorems in the literature.