Strong convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces

DOI10.1016/j.na.2008.04.030zbMath1177.47085OpenAlexW4247579199MaRDI QIDQ1009639

Hong Zhang, Yongfu Su

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.030

zbMATH Keywords

strong convergenceparallel algorithm\(\lambda\)-strict pseudocontraction\(q\)-uniformly smooth Banach spacesnormal Mann iteration

Mathematics Subject Classification ID

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

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Cites Work

• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Strong convergence of modified Mann iterations
• Non-expansive mappings and iterative methods in uniformly convex Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
• Nonexpansive projections on subsets of Banach spaces
• Asymptotic behavior of contractions in Banach spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Inequalities in Banach spaces with applications
• Fixed Point Iterations Using Infinite Matrices
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration
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