Open Access
2014 Best Proximity Point Results in G -Metric Spaces
N. Hussain, A. Latif, P. Salimi
Abstr. Appl. Anal. 2014(SI71): 1-8 (2014). DOI: 10.1155/2014/837943


G -metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in G -metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.


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N. Hussain. A. Latif. P. Salimi. "Best Proximity Point Results in G -Metric Spaces." Abstr. Appl. Anal. 2014 (SI71) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07023171
MathSciNet: MR3178895
Digital Object Identifier: 10.1155/2014/837943

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI71 • 2014
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