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...

全面介紹

書目詳細資料
發表在:Axioms
Main Authors: Miroslav Hristov, Atanas Ilchev, Diana Nedelcheva, Boyan Zlatanov
格式: Article
語言:英语
出版: MDPI AG 2021-03-01
主題:
coupled fixed points
cyclic maps
uniformly convex Banach space
error estimate
在線閱讀:https://www.mdpi.com/2075-1680/10/1/39
實物特徵
總結: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 an example that covers a wide class of maps.
ISSN:2075-1680

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