Best proximity pairs in ultrametric spaces

DOI10.1134/S2070046621040014zbMath1480.54026arXiv2109.05728OpenAlexW3214260961MaRDI QIDQ2066798

Samih Lazaiz, Karim Chaira, Aleksey A. Dovgoshey

Publication date: 14 January 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05728

zbMATH Keywords

fixed pointnonexpansive mappingbest proximity pointbest proximity pairultrametric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Related Items (3)

Uniqueness of best proximity pairs and rigidity of semimetric spaces ⋮ Proximinal sets and connectedness in graphs ⋮ Bipartite graphs and best proximity pairs

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