On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings

DOI10.1155/2012/386983zbMath1386.47012OpenAlexW2071932486WikidataQ58696484 ScholiaQ58696484MaRDI QIDQ696063

Arif Rafiq, Zhiqun Xue, Hai-Yun Zhou

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/386983

zbMATH Keywords

convergencereal Banach spacesmultistep iterative process with errorsuniformly continuous \(\Phi\)-hemicontractive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Convergence theorems for a generalized \(\phi\)-pseudo-contractive type mapping in real normal linear spaces

Cites Work

• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
• The equivalence between Mann-Ishikawa iterations and multistep iteration
• Sample solutions of stochastic boundary value problems^∗
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.

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