Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces

Victoria Olisama, Johnson Olaleru and Hudson Akewe

International Journal of Analysis, 2017, vol. 2017, 1-8

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:6173468

DOI: 10.1155/2017/6173468

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