Research Communication | Open Access
Volume 2020 | Communication ID 107 |

A generalization of fixed point theorems in generalized metric spaces

Abdelkarim Kari, El Miloudi Marhrani, Mohamed Aamri
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
19 January 2020
03 February 2020
10 March 2020

Abstract: Asymmetric space is a generalization of a metric space, but without the requirement that the (asymmetric) metric d (x, y) = d (y, x). The study of asymmetric metrics apparently goes back to Wilson [5]. Following his terminology, asymmetric metric are often called quasi metrics. In asymmetric spaces some notions, such as convergence, compactness and completeness are different from this in metric case. Collins and Zimmer [2]. Have discussed these notions in the asymmetric context. In this work, we define the notion of generalized asymmetric [3]. Spaces and we describe some fixed point theorems in complete generalized asymmetric spaces. In this way, we give some examples to illustrate our result.