Some fixed point results for \(\alpha\)-nonexpansive maps on partial metric spaces

Volume 10, Issue 10, pp 5509--5527 http://dx.doi.org/10.22436/jnsa.010.10.32

Publication Date: October 31, 2017 Submission Date: December 26, 2016

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Authors

Hassen Aydi - Department of Mathematics, College of Education of Jubail, Imam Abdulrahman Bin Faisal University, P. O.: 12020, Industrial Jubail, 31961, Saudi Arabia. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan. Abdelbasset Felhi - Department of Mathematics and Physics, Preparatory Engineering Institute, Bizerte, Carthage University, Tunisia.

Abstract

In this paper, we prove some fixed point results for a class of \(\alpha\)-nonexpansive single and multi-valued mappings in the setting of partial metric spaces. Our results generalize the analogous ones of Vetro [F. Vetro, Filomat, \(\bf 29\) (2015), 2011--2020]. Some examples are presented making our results effective.

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Keywords

• Fixed point
• nonexpansive mapping
• partial metric space

MSC

•  47H10
•  54H25
•  46J10

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