Related G-metrics and Fixed Points

For a single valued mapping T in a G-complete G-metric space (X, d), we show that if Tn,for some n> 1, is a contraction, then T itself is a contraction under another related G-metric d′. We establish moreover that if T is uniformly continuous, then d′ is G-complete.

Bibliographic Details
Main Author: Gaba Yaé Ulrich O.
Format: Article
Language:English
Published: Sciendo 2018-07-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.2478/awutm-2018-0005