Approximating best proximity points for Reich type non-self nonexpansive mappings

DOI10.1007/s13398-020-00931-2OpenAlexW3083105732MaRDI QIDQ2006214

Rahul Shukla, Vladimir Rakočevič, Rajendra Pant

Publication date: 8 October 2020

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/s13398-020-00931-2

zbMATH Keywords

Hilbert spacebest proximity pointnon-self mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Remarks on the approximate fixed point sequence of \((\alpha ,\beta)\)-maps

Cites Work

• Iterative methods for fixed point problems in Hilbert spaces
• Fixed point theorem for \(\alpha \)-nonexpansive mappings in Banach spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Existence of best proximity pairs and equilibrium pairs
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• Weak convergence theorems for nonexpansive mappings and monotone mappings
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• A best proximity point theorem for Roger-Hardy type generalized \(F\)-contractive mappings in complete metric spaces with some examples
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity point theorems via proximal non-self mappings
• Existence and convergence theorems for global minimization of best proximity points in Hilbert spaces
• Best proximity points involving simulation functions with \(w_0\)-distance
• Best proximity points for cyclic Meir-Keeler contractions
• Equilibria of free abstract economies via best proximity point theorems
• Strong convergence of the CQ method for fixed point iteration processes
• Extensions of two fixed point theorems of F. E. Browder
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• A Comparison of Various Definitions of Contractive Mappings
• Proximinal Retracts and Best Proximity Pair Theorems
• Advanced Functional Analysis
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Some Remarks Concerning Contraction Mappings
• Fixed Point Theorems in Reflexive Banach Spaces
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