Open Access
Translator Disclaimer
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

Abstract

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.

Citation

Download Citation

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

Information

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

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2014 • No. SI71 • 2014
Back to Top