Necessary and sufficient condition for Mann iteration converges to a fixed point of Lipschitzian mappings

DOI10.1155/2012/327878zbMath1325.47135OpenAlexW2159675957WikidataQ58906676 ScholiaQ58906676MaRDI QIDQ1760644

Chang-He Xiang, Zhe Chen, Jiang-Hua Zhang

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1155/2012/327878

zbMATH Keywords

strong convergenceLipschitzian mappingMann iterative sequence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25)

Cites Work

• Unnamed Item
• A new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappings
• Weak stability of Mann and Ishikawa iterations with errors for \(\phi\)-hemicontractive operators
• Fixed point theorem for generalized \(\varPhi \)-pseudocontractive mappings
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
• Zeros of accretive operators
• Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• STABILITY OF ITERATIVE PROCESSES WITH ERRORS FOR NONLINEAR EQUATIONS OF φ-STRONGLY ACCRETIVE TYPE OPERATORS
• Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces
• Approximation methods for nonlinear operator equations
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.

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