Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions

Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions

We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to <i>p</i>-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 a...

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Bibliographic Details
Main Authors: Miroslav Hristov, Atanas Ilchev, Diana Nedelcheva, Boyan Zlatanov
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Axioms
Subjects:
coupled fixed points
cyclic maps
uniformly convex Banach space
error estimate
Online Access:https://www.mdpi.com/2075-1680/10/1/39

Internet

https://www.mdpi.com/2075-1680/10/1/39

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