Some common fixed point theorems on tricomplex valued parametric metric space

Abstract

The goal of this manuscript is to present the concept of tricomplex-valued parametric metric space. In this space, some common fixed-point theorems are introduced. Our results unify and generalize many papers in the same direction. Moreover, some illustrative examples are presented to support the theoretical results. Finally, our results are applied to find the existence of a solution to a linear system of equations.