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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-03-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/10/1/39 |
| Summary: | 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. |
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| ISSN: | 2075-1680 |