A Rate of Asymptotic Regularity for the Mann Iteration of κ-Strict Pseudo-Contractions

DOI10.1080/01630563.2015.1031382zbMath1334.47063arXiv1411.3389OpenAlexW2007461607MaRDI QIDQ5264024

Laurenţiu Leuştean, Daniel Ivan

Publication date: 20 July 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3389

zbMATH Keywords

Mann iterationasymptotic regularityeffective boundsproof miningstrict pseudocontractions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functionals in proof theory (03F10)

Related Items (6)

Effective results on a fixed point algorithm for families of nonlinear mappings ⋮ Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces ⋮ Quantitative results on Fejér monotone sequences ⋮ A Note on the Mann Iteration fork-Strict Pseudocontractions in Banach Spaces ⋮ Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces ⋮ Asymptotic regularity, fixed points and successive approximations

Cites Work

• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Uniform asymptotic regularity for Mann iterates.
• Construction of fixed points of nonlinear mappings in Hilbert space
• A note on segmenting Mann iterates
• Some logical metatheorems with applications in functional analysis
• The solution by iteration of nonlinear functional equations in Banach spaces

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