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.

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Data di pubblicazione: 2013
Titolo: Best proximity point theorems for rational proximal contractions
Autori: 
VETRO, Calogero
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Citazione: Nashine, H., Kumam, P., & Vetro, C. (2013). Best proximity point theorems for rational proximal contractions. FIXED POINT THEORY AND APPLICATIONS, 2013, 1-11.
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
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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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