An optimal ball algorithm for fixed point equations

DOI10.1080/00207169408804254zbMath0824.65035OpenAlexW2035152228MaRDI QIDQ4839720

Xingzhong Shi, Zong Ben Xu

Publication date: 17 July 1995

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169408804254

zbMATH Keywords

numerical examplesHilbert spacefixed point equationcomputational efficiencyDahlquist constantcontractive operatorregion contraction algorithmgeometric estimatorball algorithm

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Interval and finite arithmetic (65G30) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators

Cites Work

• Unnamed Item
• Bounds on nonlinear operators in finite-dimensional Banach spaces
• Ball algorithms for constructing solutions of nonlinear operator equations
• A comparison of point and ball iterations in the contractive mapping case
• Geometric estimation of fixed points of Lipschitzian mappings. II
• A Computational Ball Test for the Existence of Solutions to Nonlinear Operator Equations

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