Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces

DOI10.1016/J.AMC.2010.05.058zbMath1196.54066OpenAlexW1984659494MaRDI QIDQ708171

Xiong Rui Wang, Li Yang, Shi Sheng Zhang

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.058

zbMATH Keywords

asymptotically nonexpansive mappingconvex metric spaceasymptotically quasi-nonexpansive mappinginfinite family of uniformly quasi-Lipschitzian mappingIshikawa type iterative scheme with errors

Mathematics Subject Classification ID

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

Related Items (6)

Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces ⋮ Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence rate of implicit iteration process and a data dependence result ⋮ Strong convergence theorems for two finite families of generalized asymptotically quasi-nonexpansive mappings with applications

Cites Work

• 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
• Some results for uniformly \(L\)-Lipschitzian mappings in Banach spaces
• Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces
• A convexity in metric space and nonexpansive mappings. I.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member

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