Rates of metastability for iterations on the unit interval

DOI10.1016/j.jmaa.2021.125235OpenAlexW3153330978MaRDI QIDQ2033176

Andrei Sipoş

Publication date: 14 June 2021

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

Full work available at URL: https://arxiv.org/abs/2008.03934

zbMATH Keywords

rate of convergenceIshikawa iterationproof miningrate of metastabilityKrasnoselski-Mann iteration

Mathematics Subject Classification ID

Nonlinear operators and their properties (47Hxx)

Cites Work

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• Über die Methode sukzessiver Approximationen
• Fixed point iterations for real functions
• Comments on two fixed point iteration methods
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Ishikawa's iterations of real Lipschitz functions
• A Generalization of Krasnoselski's Theorem on the Real Line
• Krasnoselski's Theorem on the Real Line
• Fixed Point Iterations Using Infinite Matrices
• Fixed Points by a New Iteration Method
• PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS
• On the reverse mathematics and Weihrauch complexity of moduli of regularity and uniqueness
• Norm convergence of multiple ergodic averages for commuting transformations
• Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
• The solution by iteration of nonlinear functional equations in Banach spaces
• Averaging iteration in a Banach space
• On the Mann Iterative Process
• A Theorem on Mean-Value Iterations
• Nicht konstruktiv beweisbare Sätze der Analysis
• Mean Value Methods in Iteration