Banach and Suzuki-type fixed point theorems in Generalized $n$-metric spaces with an application

Abstract

Mustafa and Sims [12] introduced the notion of $G$-metric as a possible generalization of usual notion of a metric space. The author generalized the notion of G-metric to more than three variables and introduced the concept of Generalized $n$-metric spaces [10]. In this paper, We prove Banach fixed point theorem and a Suzuki-type fixed point theorem in Generalized $n$-metric spaces. We also discuss applications to certain functional equations arising in dynamic programming.