Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings

zbMath1316.47057arXiv0710.1692MaRDI QIDQ3518412

Laurenţiu Leuştean

Publication date: 7 August 2008

Full work available at URL: https://arxiv.org/abs/0710.1692

zbMATH Keywords

asymptotic regularityproof miningHalpern iterationsmetric fixed point theorynonexpansive functions

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 (13)

On the convergence rate of the Halpern-iteration ⋮ Convergence of Halpern’s Iteration Method with Applications in Optimization ⋮ Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications ⋮ Effective metastability for modified Halpern iterations in CAT(0) spaces ⋮ Optimal error bounds for non-expansive fixed-point iterations in normed spaces ⋮ Convergence analysis of the Halpern iteration with adaptive anchoring parameters ⋮ A computational study of a class of recursive inequalities ⋮ On quantitative versions of theorems due to F. E. Browder and R. Wittmann ⋮ Effective results on compositions of nonexpansive mappings ⋮ Effective metastability of Halpern iterates in \(CAT(0)\) spaces ⋮ Quantitative results on a Halpern-type proximal point algorithm ⋮ On the removal of weak compactness arguments in proof mining ⋮ Quantitative results for Halpern iterations of nonexpansive mappings

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