Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of Browder--Petryshyn type

DOI10.11650/twjm/1500403801zbMath1107.47058OpenAlexW4254418666MaRDI QIDQ2493612

Ngai-Ching Wong, Lu-Chuan Zeng, Gue Myung Lee

Publication date: 26 June 2006

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

Full work available at URL: https://doi.org/10.11650/twjm/1500403801

zbMATH Keywords

strong convergencefixed point\(q\)-uniformly smooth Banach spaceIshikawa iteration with errorscompact and demicompact operatorsstrictly pseudocontractive maps of Browder-Petryshyn type

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (8)

Relaxed and composite viscosity methods for variational inequalities, fixed points of nonexpansive mappings and zeros of accretive operators ⋮ System of variational inequalities and an accretive operator in Banach spaces ⋮ Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings ⋮ Strong convergence theorems of the Ishikawa process with errors for strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces ⋮ Hybrid and relaxed Mann iterations for general systems of variational inequalities and nonexpansive mappings ⋮ Modified hybrid steepest-descent methods for general systems of variational inequalities with solutions to zeros of \(m\)-accretive operators in Banach spaces ⋮ Hybrid extragradient methods for finding zeros of accretive operators and solving variational inequality and fixed point problems in Banach spaces ⋮ Relaxed composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive mappings

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