Berinde-borcut tripled best proximity points with generalized contraction pairs
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Publication Details
Author list: Dechboon P., Ngiamsunthorn P.S., Kumam P., Chaipunya P.
Publication year: 2018
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 16
Issue number: 2
Start page: 287
End page: 303
Number of pages: 17
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
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Abstract
Given a pair of mappings F: A3 → B and G: B3 → A, where A and B are nonempty subsets of a metric space X. We propose an existence theorem for a best proximity point for this pair of mappings by assuming a generalized contractivity condition. We also show that their best proximity points carry a cyclic interrelationship in the following sense: the mapping (u, v, w) ∈ A3 ↦→ (F (u, v, w), F (v, u, v), F (w, v, u)) ∈ B3 maps a best proximity point of F to a best proximity point of G, and vice versa. © 2018 by the Mathematical Association of Thailand. All rights reserved.
Keywords
Generalized contraction pair, Property strongly uc, Tripled best proximity points
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