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Best proximity point theorems for rational proximal contractions
, P. Kumam, C. Vetro
Published in Hindawi Publishing Corporation
2013
Volume: 2013
   
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. © 2013 Nashine et al.; licensee Springer.
About the journal
JournalFixed Point Theory and Applications
PublisherHindawi Publishing Corporation
ISSN16871820