Abstract

In this paper, using the idea of a coincidence point for nonlinear mappings in any number of variables, we study a fuzzy contractivity condition to ensure the existence of coincidence points in the framework of generalized intuitionistic fuzzy metric spaces. Recently, many authors have conducted in-depth research on coupling, triple and quadruple fixed point theorems in the context of partially ordered complete metric spaces with different contractive conditions. In partially ordered generalized intuitionistic fuzzy metric spaces, we demonstrate several theorems regarding multidimensional co-incidence points and common fixed points for ϕ -compatible systems.