Open AccessBest Proximity Point Results for Some Contractive Mappings in Uniform Spaces
Author(s) -
Victoria Olisama,
J. O. Olaleru,
Hudson Akewe
Publication year - 2017
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2017/6173468
Subject(s) - mathematics , point (geometry) , pure mathematics , algebra over a field , discrete mathematics , geometry
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
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