Comments on some recent existence theorems of best proximity points for Kannan-type and Chatterjea-type mappings

zbMath1397.54060MaRDI QIDQ1752021

Tomonari Suzuki

Publication date: 25 May 2018

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1524708085

zbMATH Keywords

fixed pointbest proximity pointChatterjea-type mappingKannan-type mapping

Mathematics Subject Classification ID

Nonlinear programming (90C30) Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• The existence of best proximity points with the weak \(P\)-property
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Best proximity points: approximation and optimization
• Best proximity points for cyclic Meir-Keeler contractions
• A Generalization of Banach's Contraction Principle
• A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
• Some Results on Fixed Points--II
• Proximal normal structure and relatively nonexpansive mappings

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