Some results related to common fixed point of four maps in f-metric spaces

Abstract

The purpose of this paper is to present some existence and uniqueness results for some common fixed points of four mappings in F-metric spaces that satisfy the generalized conditions. Whereas, the new proposed two theorems allow to generalize and improve some theorems published in many previous papers related to fixed point in F-metric spaces. Indeed, the basics of the two new theorems proposed in this paper include a generalization and improvement of the previous well-known theorems in metric space, F-metric space and class of F-metric spaces, leading to more flexibility in their understanding and their applications. Furthermore, the proposed theorems allow overcoming the weak contraction type faced in the common fixed point theorem in the setting of F-metric spaces. Some examples are presented to prove that the proposed theorems are complementary and applicable where the existence and uniqueness of common fixed points of four mappings in F-metric spaces in the form of integrals are obtained.