Convergence theorems for finite families of asymptotically quasi-nonexpansive mappings

DOI10.1155/2007/68616zbMath1137.47051OpenAlexW2003727649WikidataQ59214746 ScholiaQ59214746MaRDI QIDQ2471906

Bashir Ali, Charles E. Chidume

Publication date: 19 February 2008

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

Full work available at URL: https://eudml.org/doc/128930

zbMATH Keywords

Banach spacecommon fixed pointasymptotically quasi-nonexpansive mappingsconvergence theorem

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

Convergence of a hybrid iterative method for finite families of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings ⋮ Unnamed Item ⋮ New iterations with errors for approximating common fixed points for two generalized asymptotically quasi-nonexpansive nonself-mappings ⋮ Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a new iterative process ⋮ Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Iteration sequences for asymptotically quasi-nonexpansive mapping with an error member of uniform convex Banach space.
• Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration
• Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member