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Best Proximity Point Results for \gamma -Controlled Proximal Contraction
Journal article   Open access  Peer reviewed

Best Proximity Point Results for \gamma -Controlled Proximal Contraction

Muhammad Usman Ali, Badr Alqahtani, Tayyab Kamran and Erdal Karapinar
IEEE access, Vol.7, pp.128009-128013
2019

Abstract

<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">γ -controlled proximal contraction Aerospace electronics best proximity points Education Extraterrestrial measurements Fixed points Indexes Licenses Mathematics weak <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">Pγ -property
In this article, we introduce the notion of weak P_\gamma -property and \gamma -controlled proximal contraction in the setting of b -metric spaces and prove best proximity results for such mappings. By restricting these results, we get some new results to study the existence of best proximity points and fixed points of mappings.
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https://doi.org/10.1109/ACCESS.2019.2937160View
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