Non-expansive mappings and iterative methods in uniformly convex Banach spaces

DOI10.1007/s10114-004-0347-xzbMath1083.47060OpenAlexW2129187603MaRDI QIDQ1780294

Hai-Yun Zhou

Publication date: 7 June 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0347-x

zbMATH Keywords

nonexpansive mappinguniformly convex Banach spacesMann and Ishikawa iteration schemes

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces ⋮ Approximating common fixed points of asymptotically nonexpansive maps in uniformly convex Banach spaces ⋮ An iterative algorithm for a general system of variational inequalities and fixed point problems in \(q\)-uniformly smooth Banach spaces ⋮ Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces ⋮ Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces ⋮ Convergence theorems for \(\lambda \)-strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces ⋮ On convergence theorems for generalized alpha nonexpansive mappings in Banach spaces ⋮ Strong convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces ⋮ An iterative process for a finite family of pseudocontractive mappings

Cites Work

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• Approximating Fixed Points of Nonexpansive Mappings
• The solution by iteration of nonlinear functional equations in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings