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

DOI10.1155/2012/169410zbMath1393.47033OpenAlexW1996907717WikidataQ58694991 ScholiaQ58694991MaRDI QIDQ1938128

Guiwen Lv, Hai-Yun Zhou

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1155/2012/169410

zbMATH Keywords

Banach spacesequivalence of convergence\(\Phi\)-pseudocontractive mappingsMann iterations with errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Convergence theorem for fixed points of nearly uniformly \(L\)-Lipschitzian asymptotically generalized \(\Phi \)-hemicontractive mappings
• Some convergence theorems of non-implicit iteration process with errors for a finite families of \(I\)-asymptotically nonexpansive mappings
• Equivalence theorems of the convergence between Ishikawa and Mann iterations with errors for generalized strongly successively \(\Phi \)-pseudocontractive mappings without Lipschitzian assumptions
• Stability of the Ishikawa iteration method for quasi-contractive maps
• Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
• Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
• APPROXIMATING COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
• Fixed Point Iterations For Strictly Hemi-Contractive Maps In Uniformly Smooth Banach Spaces
• Some problems and results in the study of nonlinear analysis
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.

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