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International Journal of Analysis
Volume 2017, Article ID 6173468, 8 pages
https://doi.org/10.1155/2017/6173468
Research Article

Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces

1Department of Mathematics, Adeniran Ogunsanya College of Education, Otto/Ijanikin, Lagos, Nigeria
2Department of Mathematics, University of Lagos, Lagos, Nigeria

Correspondence should be addressed to Victoria Olisama; moc.oohay@amasilociv

Received 20 June 2016; Revised 22 December 2016; Accepted 26 February 2017; Published 26 April 2017

Academic Editor: Sivaguru Sritharan

Copyright © 2017 Victoria Olisama et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We introduce the concept of -distance (an analogue of -metric), -proximal contraction, and -proximal cyclic contraction for non-self-mappings in Hausdorff uniform spaces. We investigate the existence and uniqueness of best proximity points for these modified contractive mappings. The results obtained extended and generalised some fixed and best proximity points results in literature. Examples are given to validate the main results.