A short note on C ∗ $C^{*}$ -valued contraction mappings

Abstract In this short note we point out that the recently announced notion, the C ∗ $C^{*}$ -valued metric, does not bring about a real extension in metric fixed point theory. Besides, fixed point results in the C ∗ $C^{*}$ -valued metric can be derived from the desired Banach mapping principle and...

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Bibliographic Details
Main Authors: Hamed H Alsulami, Ravi P Agarwal, Erdal Karapınar, Farshid Khojasteh
Format: Article
Language:English
Published: SpringerOpen 2016-02-01
Series:Journal of Inequalities and Applications
Online Access:http://link.springer.com/article/10.1186/s13660-016-0992-5