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Article

Existence of Coupled Best Proximity Points of p-Cyclic Contractions

1
Department of Mathematical Analysis, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 115, Universitetska St, 9700 Shumen, Bulgaria
2
Department of Real Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria
3
Department of Mathematics, Technical University of Varna, 1, Studentska Str., 9000 Varna, Bulgaria
*
Author to whom correspondence should be addressed.
Academic Editor: Wei-Shih Du
Received: 23 February 2021 / Revised: 18 March 2021 / Accepted: 19 March 2021 / Published: 22 March 2021
(This article belongs to the Special Issue Theory and Application of Fixed Point)
We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. We illustrate the results with an example that covers a wide class of maps. View Full-Text
Keywords: coupled fixed points; cyclic maps; uniformly convex Banach space; error estimate coupled fixed points; cyclic maps; uniformly convex Banach space; error estimate
MDPI and ACS Style

Hristov, M.; Ilchev, A.; Nedelcheva, D.; Zlatanov, B. Existence of Coupled Best Proximity Points of p-Cyclic Contractions. Axioms 2021, 10, 39. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010039

AMA Style

Hristov M, Ilchev A, Nedelcheva D, Zlatanov B. Existence of Coupled Best Proximity Points of p-Cyclic Contractions. Axioms. 2021; 10(1):39. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010039

Chicago/Turabian Style

Hristov, Miroslav, Atanas Ilchev, Diana Nedelcheva, and Boyan Zlatanov. 2021. "Existence of Coupled Best Proximity Points of p-Cyclic Contractions" Axioms 10, no. 1: 39. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010039

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