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Mathematics 2019, 7(1), 102; https://doi.org/10.3390/math7010102

Fisher-Type Fixed Point Results in b-Metric Spaces

1
Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
2
Department of Mathematics and Computer Sciences Universitatea Transilvania Brasov, 500036 Brasov, Romania
3
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
4
Department of Mathematics, Bolu Abant Izzet Baysal University, 14030 Bolu, Turkey
*
Authors to whom correspondence should be addressed.
Received: 25 November 2018 / Revised: 15 January 2019 / Accepted: 17 January 2019 / Published: 18 January 2019
(This article belongs to the Special Issue Recent Advances in Fixed Point Theory and Its Applications)
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Abstract

In this paper, we prove some common fixed-point theorems for two self-mappings in the context of a complete b-metric space by proposing a new contractive type condition. Further, we derive a result for three self-mappings in the same setting. We provide two examples to demonstrate the validity of the obtained results. View Full-Text
Keywords: b-metric space; common fixed point; weakly compatible b-metric space; common fixed point; weakly compatible
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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Alqahtani, B.; Fulga, A.; Karapınar, E.; Özturk, A. Fisher-Type Fixed Point Results in b-Metric Spaces. Mathematics 2019, 7, 102.

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