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.

Moradlou, F., Salimi, P., Vetro, P. (2013). Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces. ACTA MATHEMATICA SCIENTIA, 33(4), 1049-1058 [10.1016/S0252-9602(13)60062-4].

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

VETRO, Pasquale
2013-01-01

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.
2013
Settore MAT/05 - Analisi Matematica
Moradlou, F., Salimi, P., Vetro, P. (2013). Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces. ACTA MATHEMATICA SCIENTIA, 33(4), 1049-1058 [10.1016/S0252-9602(13)60062-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/85850
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