Strong convergence theorems for multi-step Noor iterations with errors in Banach spaces

DOI10.1016/j.jmaa.2005.08.029zbMath1095.47042OpenAlexW2000308630MaRDI QIDQ2497336

Rabian Wangkeeree, Somyot Plubtieng

Publication date: 4 August 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.08.029

zbMATH Keywords

uniformly convexasymptotically quasi-nonexpansive mappingscompletely continuousasymptotically nonexpansive in the intermediate senseuniformly \(L\)-Lipschitzian

Mathematics Subject Classification ID

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

Related Items (7)

Approximating solutions for the systems of strongly accretive operator equations ⋮ Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces ⋮ Simpler is also better in approximating fixed points ⋮ Modified Noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces ⋮ Weak convergence theorem for finding fixed points and solution of split feasibility and systems of equilibrium problems ⋮ Common fixed points of multistep Noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings ⋮ Strong convergence theorems for common fixed points of multistep iterations with errors in Banach spaces

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