Ishikawa iterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive mappings in Banach spaces

DOI10.1016/j.na.2005.04.012zbMath1224.65148OpenAlexW1979291442MaRDI QIDQ1000065

Dingping Wu, Shi Sheng Zhang, George Xian-Zhi Yuan

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.04.012

zbMATH Keywords

convergenceBanach spacesnonlinear operator equations\(m\)-accretive operator\(m\)-accretive mappingnormalized duality mappingIshikawa iterative sequence with mixed errors

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Set-valued variational inclusions in Banach spaces
• On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces
• Iterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive operators in Banach spaces.
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Nonlinear semigroups and evolution equations
• Some problems and results in the study of nonlinear analysis
• Nonlinear equations involving compact perturbations of m-accretive operators in Banach spaces
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
• The Mann process for perturbed \(m\)-accretive operators in Banach spaces

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