The equivalence of convergence results between Ishikawa and Mann iterations with errors for uniformly continuous generalized \(\Phi\)-pseudocontractive mappings in normed linear spaces

DOI10.1155/2012/395098zbMath1381.47056OpenAlexW2021095650WikidataQ58906825 ScholiaQ58906825MaRDI QIDQ442911

Guiwen Lv, Zhiqun Xue

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/395098

zbMATH Keywords

\(\Phi\)-pseudocontractive mappingsiterations with errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Convergence theorem for fixed points of nearly uniformly \(L\)-Lipschitzian asymptotically generalized \(\Phi \)-hemicontractive mappings
• Equivalence theorems of the convergence between Ishikawa and Mann iterations with errors for generalized strongly successively \(\Phi \)-pseudocontractive mappings without Lipschitzian assumptions
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Stability of the Ishikawa iteration method for quasi-contractive maps
• Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
• Convergence theorems for multivalued \(\phi\)-hemicontractive operators and \(\phi\)-strongly accretive operators
• 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
• Iterative approximation of fixed points of Lipschitz pseudocontractive maps
• Fixed Point Iterations For Strictly Hemi-Contractive Maps In Uniformly Smooth Banach Spaces
• Some problems and results in the study of nonlinear analysis
• Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.

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