Strong convergence theorems on two iterative method for non-expansive mappings

DOI10.1016/j.amc.2006.01.032zbMath1148.65306OpenAlexW2099309795MaRDI QIDQ945368

Yongfu Su, Suhong Li

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.032

zbMATH Keywords

strong convergencefixed pointBanach spacenon-expansive nonself-mappingsunny non-expansive retraction

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Ergodic approximations via matrix regularization approach ⋮ A new iterative algorithm of solution for equilibrium problems, variational inequalities and fixed point problems in a Hilbert space ⋮ Viscosity approximative methods to Cesàro means for non-expansive mappings ⋮ Iterative convergence to Cesàro means for continuous pseudocontractive mappings ⋮ Iterative algorithms for nonexpansive mappings ⋮ Strong convergence theorems in real reflexive Banach spaces for non-expansive mappings

Cites Work

• Unnamed Item
• Unnamed Item
• On Reich's strong convergence theorems for resolvents of accretive operators
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
• Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• Inequalities in Banach spaces with applications
• Strong convergence theorem for asymptotically nonexpansive mappings
• Fixed points of nonexpanding maps
• Nonexpansive retracts of Banach spaces

This page was built for publication: Strong convergence theorems on two iterative method for non-expansive mappings