Convergence theorems of three-step iterative scheme for a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces

DOI10.1155/2009/891965zbMath1167.47309OpenAlexW2087126820WikidataQ59248899 ScholiaQ59248899MaRDI QIDQ1030587

Chun-De Yang, You-Xian Tian

Publication date: 2 July 2009

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

Full work available at URL: https://eudml.org/doc/55841

zbMATH Keywords

convergencecommon fixed pointNoor-type iterative methodquasi-Lipschitzian mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings
• Weak and strong convergence of the Ishikawa iteration process with errors for two asymptotically nonexpansive mappings
• Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
• Convergence theorems for fixed points of uniformly quasi-Lipschitzian mappings in convex metric spaces
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Iteration sequences for asymptotically quasi-nonexpansive mapping with an error member of uniform convex Banach space.
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Convergence theorems for uniformly quasi-Lipschitzian mappings
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Iteration processes for nonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Krasnoselskii's iteration process in hyperbolic space
• Iterative sequences for asymptotically quasi-nonexpansive mappings.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member

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