A strongly convergent Krasnosel'skiǐ-Mann-type algorithm for finding a common fixed point of a countably infinite family of nonexpansive operators in Hilbert spaces

DOI10.1016/j.cam.2021.113589OpenAlexW3155745268MaRDI QIDQ2029653

Dennis Meier, Radu Ioan Boţ

Publication date: 3 June 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11656

zbMATH Keywords

Tikhonov regularizationsplitting methodsforward-backward algorithmfixed points of families of nonexpansive mappings

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items (3)

Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications ⋮ Fast Krasnosel’skiĭ–Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\) ⋮ A variational approach to the alternating projections method

Cites Work

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