Regularization methods for nonlinear ill-posed equations involving \(m\)-accretive mappings in Banach spaces

DOI10.3103/S1066369X13020072zbMath1266.47086MaRDI QIDQ1946938

Nguyen Buong, Nguyen Thi Hong Phuong

Publication date: 10 April 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

duality mappingreflexive Banach spacenonlinear ill-posed problemTikhonov regularizationuniformly Gâteaux differentiable normaccretive mappingstrictly convex Banach spaceBanach limitinertial proximal point algorithm

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (6)

Convergence rates in regularization for a system of nonlinear ill-posed equations with \(m\)-accretive operators ⋮ A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings ⋮ First-order regularization methods for accretive inclusions in a Banach space ⋮ Extended Newton-type iteration for nonlinear ill-posed equations in Banach space ⋮ Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces ⋮ Newton-Kantorovich iterative regularization and generalized discrepancy principle for nonlinear ill-posed equations involving accretive mappings

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