Strong convergence theorems of the Ishikawa process with errors for strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces

DOI10.1155/2011/706206zbMath1215.47093OpenAlexW1968428611WikidataQ59266778 ScholiaQ59266778MaRDI QIDQ536886

Li-Wei Liu, Yong Cai, Yu-Chao Tang

Publication date: 19 May 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229870

zbMATH Keywords

strong convergencestrictly pseudocontractive mappingIshikawa iterative sequence with errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Strong convergence theorems for strictly pseudocontractive mappings of Browder--Petryshyn type
• Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of Browder--Petryshyn type
• Construction of fixed points of nonlinear mappings in Hilbert space
• Nonlinear semigroups and evolution equations
• Approximating Fixed Points of Nonexpansive Mappings
• Some problems and results in the study of nonlinear analysis
• Fixed Point Iterations Using Infinite Matrices
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
• Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type

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