General \(A\)-monotone operators and perturbed iterations for nonlinear set-valued relaxed cocoercive operator inclusion problems

DOI10.1016/j.amc.2009.07.031zbMath1182.65082OpenAlexW1978981113MaRDI QIDQ1036556

Le-Cai Cai, Zi-Shan Liu, Heng-you Lan

Publication date: 13 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.031

zbMATH Keywords

Banach spaceapproximation-solvabilityproximal operatorgeneral \(A\)-monotone operatornonlinear set-valued relaxed cocoercive operator inclusionperturbated iterative algorithm with mixed errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Variational and other types of inclusions (47J22)

Related Items (2)

Convergence analysis of new over-relaxed proximal point algorithm frameworks with errors and applications to general \( A\)-monotone nonlinear inclusion forms ⋮ Sensitivity analysis for generalized nonlinear parametric \((A,\eta ,m)\)-maximal monotone operator inclusion systems with relaxed cocoercive type operators

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