First-order regularization methods for accretive inclusions in a Banach space

DOI10.1134/S0965542514110116zbMath1328.47068MaRDI QIDQ889187

I. P. Ryazantseva

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergenceaccretive operatorresolventregularizationiterative method\(m\)-accretive operatorcontinuous methodinversely strongly pseudoaccretive operator

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Variational and other types of inclusions (47J22)

Cites Work

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• On continuous first-order methods and their regularized versions for mixed variational inequalities
• On \(\varphi\)-strongly accretive mappings and some set-valued variational problems
• Regularization methods for nonlinear ill-posed equations involving \(m\)-accretive mappings in Banach spaces
• Nonlinear Ill-posed Problems of Monotone Type
• Continuous first-order methods for monotone inclusions in a Hilbert space
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces

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