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Symmetry 2019, 11(1), 8; https://doi.org/10.3390/sym11010008

On Interpolative Hardy-Rogers Type Contractions

1
Department of Mathematics, Atilim University, Incek, 06830 Ankara, Turkey
2
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
3
Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
4
Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. 12020, Industrial Jubail 31961, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 23 October 2018 / Revised: 9 December 2018 / Accepted: 18 December 2018 / Published: 22 December 2018
(This article belongs to the Special Issue Fixed Point Theory and Fractional Calculus with Applications)
Full-Text   |   PDF [235 KB, uploaded 22 December 2018]   |   Review Reports

Abstract

By using an interpolative approach, we recognize the Hardy-Rogers fixed point theorem in the class of metric spaces. The obtained result is supported by some examples. We also give the partial metric case, according to our result. View Full-Text
Keywords: metric space; Hardy-Rogers type; fixed point; interpolation; partial metric space metric space; Hardy-Rogers type; fixed point; interpolation; partial metric space
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.; Alqahtani, O.; Aydi, H. On Interpolative Hardy-Rogers Type Contractions. Symmetry 2019, 11, 8.

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