Convergence rates in regularization for a system of nonlinear ill-posed equations with \(m\)-accretive operators

DOI10.1186/1029-242X-2014-440zbMath1370.47057WikidataQ59320071 ScholiaQ59320071MaRDI QIDQ2405727

Nguyen Buong, Jong Kyu Kim

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Fréchet differentiabilityaccretive operatorsconvex Banach spacedemicontinuousmodified Browder-Tikhonov regularization

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear ill-posed problems (47J06)

Related Items (max. 100)

Unnamed Item ⋮ Approximation common zero of two accretive operators in Banach spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces
• A remark on recent results for finding zeroes of accretive operators
• Weak convergence of an iterative sequence for accretive operators in Banach spaces
• Regularization inertial proximal point algorithm for monotone hemicontinuous mapping and inverse strongly monotone mappings in Hilbert spaces
• Iterative solution of \(0\in Ax\) for an \(m\)-accretive operator \(A\) in certain Banach spaces
• On nonlinear ill-posed accretive equations
• Regularization methods for nonlinear ill-posed equations involving \(m\)-accretive mappings in Banach spaces
• Viscosity approximation fixed points for nonexpansive and \(m\)-accretive operators
• Convergence of Ishikawa iterative sequences for accretive Lipschitzian mappings in Banach spaces
• Approximating zero points of accretive operators with compact domains in general Banach spaces
• Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
• Newton-Kantorovich Iterative Regularization for Nonlinear Ill-Posed Equations Involving Accretive Operators
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
• Weakly continuous accretive operators

This page was built for publication: Convergence rates in regularization for a system of nonlinear ill-posed equations with \(m\)-accretive operators