Existence and uniqueness of best proximity point for contractions of Geraghty type

DOI10.1007/S13398-013-0154-2zbMath1295.54042OpenAlexW2084895053MaRDI QIDQ740740

J. Harjani, Angel Almeida, Kishin Sadarangani

Publication date: 9 September 2014

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-013-0154-2

zbMATH Keywords

fixed pointbest proximity point\(P\)-propertycontraction of Geraghty type

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

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• A best proximity point theorem for Geraghty-contractions
• A best proximity point theorem for weakly contractive non-self-mappings
• Existence and convergence of best proximity points
• Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
• Convergence and existence results for best proximity points
• Proximal pointwise contraction
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity pair theorems for relatively nonexpansive mappings
• Proximinal Retracts and Best Proximity Pair Theorems
• On Contractive Mappings

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