Theorems of strong convergence of mixed iterative methods for obtaining strict pseudocontractions in Banach spaces

DOI10.1016/j.aml.2010.03.011zbMath1226.47073OpenAlexW2049339984MaRDI QIDQ975281

Liang-Gen Hu

Publication date: 9 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.03.011

zbMATH Keywords

strong convergencestrict pseudocontractionsmixed iteration\(p\)-uniformly convex

Mathematics Subject Classification ID

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

Related Items

Iteration process for solving a fixed point problem of nonexpansive mappings in Banach spaces ⋮ Strong convergence theorems of viscosity iterative methods for a countable family of strict pseudo-contractions in Banach spaces ⋮ A new multi-step iteration for solving a fixed point problem of nonexpansive mappings

Cites Work

• Mann iteration of weak convergence theorems in Banach space
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Strong convergence of modified Mann iterations
• Viscosity approximation methods for nonexpansive mappings
• Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces
• Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
• Construction of fixed points of nonlinear mappings in Hilbert space
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications

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