Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces
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Date
2017
Authors
Olisama, V.O.
Olaleru, J.O
Akewe, H
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
We introduce the concept of 𝐽𝑎V-distance (an analogue of 𝑏-metric), 𝜙𝑝-proximal contraction, and 𝜙𝑝-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.
Description
Staff publications
Keywords
Proximal contraction , Proximal cyclic contraction , Hausdorff uniform spaces , Modified contractive mappings. , Research Subject Categories::MATHEMATICS
Citation
Olisama, V.O., Olaleru, J.O and Akewe, H. (2017). Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces. Hindawi International Journal of Analysis, 8p.