ON THE CONVERGENCE RATE OF THE KRASNOSEL’SKIĬ–MANN ITERATION
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Publication:4975607
DOI10.1017/S000497271600109XzbMath1368.47072OpenAlexW2570497891MaRDI QIDQ4975607
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Publication date: 7 August 2017
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s000497271600109x
convergence rateproximal point algorithmKrasnosel'skiĭ-Mann iterationnonexpansiveDouglas-Rachford method
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (16)
New inertial factors of the Krasnosel'skiĭ-Mann iteration ⋮ Reflected three-operator splitting method for monotone inclusion problem ⋮ Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems ⋮ New acceleration factors of the Krasnosel'skiĭ-Mann iteration ⋮ A splitting method for finding the resolvent of the sum of two maximal monotone operators ⋮ Fast Krasnosel’skiĭ–Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\) ⋮ Distributed algorithms for computing a fixed point of multi-agent nonexpansive operators ⋮ Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces ⋮ On the optimal relaxation parameters of Krasnosel'ski–Mann iteration ⋮ A convergence rate of the proximal point algorithm in Banach spaces ⋮ Weak convergence of an extended splitting method for monotone inclusions ⋮ Convergence Rate Analysis of Inertial Krasnoselskii–Mann Type Iteration with Applications ⋮ New convergence results for inertial Krasnoselskii-Mann iterations in Hilbert spaces with applications ⋮ A new splitting method for systems of monotone inclusions in Hilbert spaces ⋮ On the convergence rate of Mann iteration in geodesic spaces with positive curvature ⋮ Unnamed Item
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