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: | ||
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: | ||
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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