Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces

Pasquale Vetro; Fridoun Moradlou; Peyman Salimi

Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces

Pasquale Vetro, Fridoun Moradlou, Peyman Salimi

Matematica e Informatica

Risultato della ricerca: Article › peer review

11 Citazioni (Scopus)

Abstract

In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces.

Lingua originale	English
pagine (da-a)	1049-1058
Numero di pagine	10
Rivista	Acta Mathematica Scientia
Volume	33
Stato di pubblicazione	Published - 2013

All Science Journal Classification (ASJC) codes

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AB - In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces.

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