*Article* **Existence of Coupled Best Proximity Points of** *p***-Cyclic Contractions**

**Miroslav Hristov 1, Atanas Ilchev 2, Diana Nedelcheva <sup>3</sup> and Boyan Zlatanov 2,\***


**Abstract:** 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.

**Keywords:** coupled fixed points; cyclic maps; uniformly convex Banach space; error estimate

**MSC:** Primary 47H10; 58E30; 54H25

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


Academic Editor: Wei-Shih Du

Received: 23 February 2021 Accepted: 19 March 2021 Published: 22 March 2021

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