Best Proximity Point Results for <inline-formula> <tex-math notation="LaTeX">$\gamma$ </tex-math></inline-formula>-Controlled Proximal Contraction

Best Proximity Point Results for <inline-formula> <tex-math notation="LaTeX">$\gamma$ </tex-math></inline-formula>-Controlled Proximal Contraction

In this article, we introduce the notion of weak <inline-formula> <tex-math notation="LaTeX">$P_\gamma $ </tex-math></inline-formula>-property and <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>-co...

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Bibliographic Details
Main Authors: Muhammad Usman Ali, Badr Alqahtani, Tayyab Kamran, Erdal Karapinar
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Fixed points
best proximity points
<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</italic>-controlled proximal contraction
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</italic>-property
Online Access:https://ieeexplore.ieee.org/document/8811457/
Description
Summary:In this article, we introduce the notion of weak <inline-formula> <tex-math notation="LaTeX">$P_\gamma $ </tex-math></inline-formula>-property and <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>-controlled proximal contraction in the setting of <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-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.
ISSN:2169-3536

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