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Mathematics 2019, 7(4), 308; https://doi.org/10.3390/math7040308

A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces

1
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
2
Young Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak 38361-1-9131, Iran
3
Faculty of Electrical Engineering, University of Banja Luka, 78000 Banja luka, Bosnia and Herzegovina
*
Author to whom correspondence should be addressed.
Received: 26 February 2019 / Revised: 18 March 2019 / Accepted: 20 March 2019 / Published: 27 March 2019
(This article belongs to the Special Issue Recent Advances on Quasi-Metric Spaces)
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PDF [204 KB, uploaded 27 March 2019]

Abstract

In this paper, we revisit the renowned fixed point theorems belongs to Caristi and Banach. We propose a new fixed point theorem which is inspired from both Caristi and Banach. We also consider an example to illustrate our result. View Full-Text
Keywords: b-metric; Banach fixed point theorem; Caristi fixed point theorem b-metric; Banach fixed point theorem; Caristi fixed point theorem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Karapınar, E.; Khojasteh, F.; Mitrović, Z.D. A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces. Mathematics 2019, 7, 308.

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