Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 (2012), 911-920] proved an analogous fixed point result for a self-mapping on a partial metric space that characterizes the partial metric 0-completeness. In this article, we introduce the notion of partial G-metric spaces and prove a result of Suzuki type in the setting of partial G-metric spaces. We deduce also a result of common fixed point.

Salimi, P., Vetro, P. (2014). A result of Suzuki type in partial G-metric spaces. ACTA MATHEMATICA SCIENTIA, 34(2), 274-284 [10.1016/S0252-9602(14)60004-7].

A result of Suzuki type in partial G-metric spaces

VETRO, Pasquale
2014-01-01

Abstract

Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 (2012), 911-920] proved an analogous fixed point result for a self-mapping on a partial metric space that characterizes the partial metric 0-completeness. In this article, we introduce the notion of partial G-metric spaces and prove a result of Suzuki type in the setting of partial G-metric spaces. We deduce also a result of common fixed point.
2014
Settore MAT/05 - Analisi Matematica
Salimi, P., Vetro, P. (2014). A result of Suzuki type in partial G-metric spaces. ACTA MATHEMATICA SCIENTIA, 34(2), 274-284 [10.1016/S0252-9602(14)60004-7].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/94955
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