Best proximity point for Z-contraction and suzuki type Z-contraction mappings with an application to fractional calculus
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Author list: Komal S., Kumam P., Gopal D.
Publisher: Universidad Politécnica de Valencia
Publication year: 2016
Journal: Applied General Topology (1576-9402)
Volume number: 17
Issue number: 2
Start page: 185
End page: 198
Number of pages: 14
ISSN: 1576-9402
eISSN: 1989-4147
Languages: English-Great Britain (EN-GB)
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Abstract
In this article, we introduced the best proximity point theorems for Z-contraction and Suzuki type Z-contraction in the setting of complete metric spaces. Also by the help of weak P-property and P-property, we proved existence and uniqueness of best proximity point. There is a simple example toshowthe validityofour results. Ourresults extended and unify many existing results in the literature. Moreover, an application to fractional order functional differential equation is discussed. ฉ AGT, UPV, 2016.
Keywords
Functional differential equation, Suzuki type Z-contraction, Weak P-property
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