Best proximity point theorems for rational proximal contractions

Nashine, H; Kumam, P; Vetro, C

doi:10.1186/1687-1812-2013-95

We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results.

Nashine, H., Kumam, P., & Vetro, C. (2013). Best proximity point theorems for rational proximal contractions. FIXED POINT THEORY AND APPLICATIONS, 2013, 1-11 [10.1186/1687-1812-2013-95].

Data di pubblicazione:	2013
Titolo:	Best proximity point theorems for rational proximal contractions
Autori:	Nashine, HK Kumam, P VETRO, Calogero mostra contributor esterni nascondi contributor esterni
Citazione:	Nashine, H., Kumam, P., & Vetro, C. (2013). Best proximity point theorems for rational proximal contractions. FIXED POINT THEORY AND APPLICATIONS, 2013, 1-11 [10.1186/1687-1812-2013-95].
Rivista:	FIXED POINT THEORY AND APPLICATIONS
Digital Object Identifier (DOI):	http://dx.doi.org/10.1186/1687-1812-2013-95
Abstract:	We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results.
URL:	http://www.fixedpointtheoryandapplications.com/content/2013/1/95
Settore Scientifico Disciplinare:	Settore MAT/05 - Analisi Matematica
Appare nelle tipologie:	1.01 Articolo in rivista

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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10447/85017

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