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Symmetry
Volume 11
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Article

On Interpolative Hardy-Rogers Type Contractions

by
Erdal Karapınar
1,2,*,
Obaid Alqahtani
3 and
Hassen Aydi
4
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.
Symmetry 2019, 11(1), 8; https://doi.org/10.3390/sym11010008
Submission 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)
Review Reports Versions Notes

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.
Keywords: metric space; Hardy-Rogers type; fixed point; interpolation; partial metric space metric space; Hardy-Rogers type; fixed point; interpolation; partial metric space

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MDPI and ACS Style

Karapınar, E.; Alqahtani, O.; Aydi, H. On Interpolative Hardy-Rogers Type Contractions. Symmetry 2019, 11, 8. https://doi.org/10.3390/sym11010008

AMA Style

Karapınar E, Alqahtani O, Aydi H. On Interpolative Hardy-Rogers Type Contractions. Symmetry. 2019; 11(1):8. https://doi.org/10.3390/sym11010008

Chicago/Turabian Style

Karapınar, Erdal, Obaid Alqahtani, and Hassen Aydi. 2019. "On Interpolative Hardy-Rogers Type Contractions" Symmetry 11, no. 1: 8. https://doi.org/10.3390/sym11010008

APA Style

Karapınar, E., Alqahtani, O., & Aydi, H. (2019). On Interpolative Hardy-Rogers Type Contractions. Symmetry, 11(1), 8. https://doi.org/10.3390/sym11010008

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