Related G-metrics and Fixed Points
Open Access
- 1 July 2018
- journal article
- Published by Walter de Gruyter GmbH in Annals of West University of Timisoara - Mathematics and Computer Science
- Vol. 56 (1), 64-72
- https://doi.org/10.2478/awutm-2018-0005
Abstract
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.Keywords
This publication has 10 references indexed in Scilit:
- Common Fixed Points via -Sequences in -Metric SpacesJournal of Mathematics, 2017
- Fixed point theorems in G-metric spacesJournal of Mathematical Analysis and Applications, 2017
- New Contractive Conditions for Maps in G-metric Type SpacesAdvances in Analysis, 2016
- A fixed point theorem inG-metric spaces viaα-seriesQuaestiones Mathematicae, 2014
- Generalized Meir–Keeler type contractions on G-metric spacesApplied Mathematics and Computation, 2013
- Two fixed point theorems for maps on incomplete G-metric spacesPublished by Hikari, Ltd. ,2013
- Remarks on G-metric spaces and fixed point theoremsFixed Point Theory and Algorithms for Sciences and Engineering, 2012
- Some Fixed Point Theorems in G-metric SpacesAnalele Universitatii "Ovidius" Constanta - Seria Matematica, 2012
- Common Fixed Point Results in Metric-Type SpacesFixed Point Theory and Applications, 2010
- A Remark on a Fixed-Point Theorem for Iterated MappingsThe American Mathematical Monthly, 1968