An Iterative Scheme for the Approximations of Fixed Points of Asymptotically Pseudocontractive Mappings

DOI10.1080/01630563.2010.536286zbMath1208.47068OpenAlexW2012428970MaRDI QIDQ3083533

Arif Rafiq

Publication date: 22 March 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.536286

zbMATH Keywords

strong convergenceBanach spaceasymptotically pseudocontractive mappinguniformly \(L\)-Lipschitzian mappingsuniformly continuous mappingsmodified Mann iterative scheme

Mathematics Subject Classification ID

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

Cites Work

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• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
• Inequalities in Banach spaces with applications

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