In 2005, Mustafa and Sims [Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2) (2006) 289-297] introduced and studied a new class of generalized metric spaces, which are called G-metric spaces, as a generalization of metric spaces. We establish some propositions useful to show that most fixed point theorems on (non-symmetric) G-metric spaces given recently by many authors follow directly from well-known theorems on metric spaces. Our technique can be easily extended to other results as shown as application.

Samet, B., Vetro, C., Vetro, F. (2013). Remarks on G-metric spaces. INTERNATIONAL JOURNAL OF ANALYSIS, 2013, 1-6 [10.1155/2013/917158].

Remarks on G-metric spaces

VETRO, Calogero;VETRO, Francesca
2013-01-01

Abstract

In 2005, Mustafa and Sims [Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7 (2) (2006) 289-297] introduced and studied a new class of generalized metric spaces, which are called G-metric spaces, as a generalization of metric spaces. We establish some propositions useful to show that most fixed point theorems on (non-symmetric) G-metric spaces given recently by many authors follow directly from well-known theorems on metric spaces. Our technique can be easily extended to other results as shown as application.
2013
Settore MAT/05 - Analisi Matematica
Samet, B., Vetro, C., Vetro, F. (2013). Remarks on G-metric spaces. INTERNATIONAL JOURNAL OF ANALYSIS, 2013, 1-6 [10.1155/2013/917158].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/69705
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