Approximate fixed points of \(\alpha\)-nonexpansive mappings

DOI10.1016/j.jmaa.2018.07.058zbMath1500.47075OpenAlexW2886895936MaRDI QIDQ1664490

Majid Fakhar, Alireza Amini-Harandi, Hamid Reza Hajisharifi

Publication date: 27 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.058

zbMATH Keywords

fixed pointnormal structureapproximate fixed point sequence\((\alpha, \beta)\)-nonexpansive mapping

Mathematics Subject Classification ID

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

Related Items

Existence of unique fixed point of a mapping defined on an uniquely remotal subset in Hilbert space ⋮ Farthest point problem and partial statistical continuity in normed linear spaces ⋮ Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences ⋮ Remarks on the approximate fixed point sequence of \((\alpha ,\beta)\)-maps ⋮ On convergence theorems for generalized alpha nonexpansive mappings in Banach spaces ⋮ Approximating Fixed Points of Suzuki $$(\alpha ,\beta )$$-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces ⋮ On some generalization of multivalued nonexpansive mappings ⋮ Fixed point problems for nonexpansive mappings in bounded sets of Banach spaces

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