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Volume 7
Issue 4
10.3390/axioms7040080
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Article

On the Fixed-Circle Problem and Khan Type Contractions

by
Nabil Mlaiki
1,*,
Nihal Taş
2 and
Nihal Yılmaz Özgür
2
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.
Axioms 2018, 7(4), 80; https://doi.org/10.3390/axioms7040080
Submission 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)
Versions Notes

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.
Keywords: fixed circle; common fixed circle; fixed-circle theorem fixed circle; common fixed circle; fixed-circle theorem

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MDPI and ACS Style

Mlaiki, N.; Taş, N.; Özgür, N.Y. On the Fixed-Circle Problem and Khan Type Contractions. Axioms 2018, 7, 80. https://doi.org/10.3390/axioms7040080

AMA Style

Mlaiki N, Taş N, Özgür NY. On the Fixed-Circle Problem and Khan Type Contractions. Axioms. 2018; 7(4):80. https://doi.org/10.3390/axioms7040080

Chicago/Turabian Style

Mlaiki, Nabil, Nihal Taş, and Nihal Yılmaz Özgür. 2018. "On the Fixed-Circle Problem and Khan Type Contractions" Axioms 7, no. 4: 80. https://doi.org/10.3390/axioms7040080

APA Style

Mlaiki, N., Taş, N., & Özgür, N. Y. (2018). On the Fixed-Circle Problem and Khan Type Contractions. Axioms, 7(4), 80. https://doi.org/10.3390/axioms7040080

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