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Axioms 2018, 7(4), 80; https://doi.org/10.3390/axioms7040080

On the Fixed-Circle Problem and Khan Type Contractions

1
Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
2
Department of Mathematics, Balıkesir University, 10145 Balıkesir, Turkey
*
Author to whom correspondence should be addressed.
Received: 18 October 2018 / Revised: 31 October 2018 / Accepted: 5 November 2018 / Published: 8 November 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Full-Text   |   PDF [240 KB, uploaded 8 November 2018]

Abstract

In this paper, we consider the fixed-circle problem on metric spaces and give new results on this problem. To do this, we present three types of F C -Khan type contractions. Furthermore, we obtain some solutions to an open problem related to the common fixed-circle problem. View Full-Text
Keywords: fixed circle; common fixed circle; fixed-circle theorem fixed circle; common fixed circle; fixed-circle 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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Mlaiki, N.; Taş, N.; Özgür, N.Y. On the Fixed-Circle Problem and Khan Type Contractions. Axioms 2018, 7, 80.

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