Ball algorithms for constructing solutions of nonlinear operator equations

DOI10.1016/0377-0427(91)90189-QzbMath0745.65040MaRDI QIDQ1184143

Zong Ben Xu, Zhao-Yong You

Publication date: 28 June 1992

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

zbMATH Keywords

global convergenceerror estimatesHilbert spacenonlinear operator equationsBall algorithmcomputational test for existencenonlinear operators of monotone typeregion contraction algorithm

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (3)

An optimal ball algorithm for fixed point equations ⋮ The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators ⋮ A comparison of point and ball iterations in the contractive mapping case

Cites Work

• Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Produits infinis de resolvantes
• Geometric estimation of fixed points of Lipschitzian mappings. II
• A Globally Convergent Ball Newton Method
• On solutions of Hammerstein's equation in Banach spaces
• A Computational Ball Test for the Existence of Solutions to Nonlinear Operator Equations
• Regularization of non-linear equations with monotonic operators
• Monotone Operators and the Proximal Point Algorithm
• Geometric Estimation of the Solution to x + Tx = 0 for Unbounded Densely Defined Monotone Operator T in Hilbert Space
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