Best proximity point results for modified α-proximal C-contraction mappings
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Publication Details
Author list: Kumam P., Salimi P., Vetro C.
Publisher: SpringerOpen
Publication year: 2014
Journal: Fixed Point Theory and Applications (1687-1820)
Volume number: 2014
ISSN: 1687-1820
eISSN: 1687-1812
Languages: English-Great Britain (EN-GB)
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Abstract
First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces. Finally, as consequences of these results, we deduce best proximity point theorems in metric spaces endowed with a graph and in partially ordered metric spaces. Moreover, we present an example and some fixed point results to illustrate the usability of the obtained theorems. ฉ 2014 Kumam et al.; licensee Springer.
Keywords
Best proximity point, Metric space
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