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Mathematics 2019, 7(1), 84; https://doi.org/10.3390/math7010084

Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance

1
Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia
2
Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan
3
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Authors to whom correspondence should be addressed.
Received: 29 November 2018 / Revised: 10 January 2019 / Accepted: 14 January 2019 / Published: 15 January 2019
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Abstract

In this paper, we initiate the concept of interpolative Ćirić-Reich-Rus type contractions via the Branciari distance and prove some related fixed points results for such mappings. Moreover, an example is provided to show the useability of our obtained results. View Full-Text
Keywords: branciari distance; interpolative Ćirić-Reich-Rus type contraction; fixed point branciari distance; interpolative Ćirić-Reich-Rus type contraction; fixed point
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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Aydi, H.; Chen, C.-M.; Karapınar, E. Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance. Mathematics 2019, 7, 84.

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