On the convergence rate of Mann iteration in geodesic spaces with positive curvature

DOI10.1080/02331934.2020.1723587OpenAlexW3005391344MaRDI QIDQ4999740

Yasunori Kimura, Koichi Nakagawa

Publication date: 2 July 2021

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1723587

zbMATH Keywords

sensitivitystabilityconvergence analysisvariational inequalitiesmonotone operatorsnonlinear operatorsfuzzy differential operators

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) General theory of ordinary differential operators (47E05)

Cites Work

• Unnamed Item
• Convergence of subsets of a complete geodesic space with curvature bounded above
• Comments on ``The proximal point algorithm revisited
• Halpern's iteration in CAT(0) spaces
• On the rate of convergence of Krasnosel'skiĭ-Mann iterations and their connection with sums of Bernoullis
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• The proximal point algorithm in geodesic spaces with curvature bounded above
• ON THE CONVERGENCE RATE OF THE KRASNOSEL’SKIĬ–MANN ITERATION
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration

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