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CALOGERO VETRO

Remarks on G-metric spaces

  • Autori: Samet, B; Vetro, C; Vetro, F
  • Anno di pubblicazione: 2013
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: G-metric space, metric space, fixed point
  • OA Link: http://hdl.handle.net/10447/69705

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.