A Variable Krasnoselski–Mann Algorithm for a New Class of Fixed Point Problems

DOI10.1080/01630560902987436zbMath1168.49027OpenAlexW2160254712MaRDI QIDQ3395178

Abdellatif Moudafi

Publication date: 24 August 2009

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

Full work available at URL: https://doi.org/10.1080/01630560902987436

zbMATH Keywords

fixed pointpartial inversefirmly nonexpansive mappingKrasnoselski-Mann algorithm

Mathematics Subject Classification ID

Convex programming (90C25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Partial inverse of a monotone operator
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Regularization of nonlinear ill-posed variational inequalities and convergence rates
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• A note on the Krasnoselski–Mann theorem and its generalizations
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces

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