General iteration algorithm and convergence rate optimal model for common fixed points of nonexpansive mappings

DOI10.1016/j.amc.2006.07.101zbMath1116.65064OpenAlexW2083495180MaRDI QIDQ878942

Xiaolong Qin, Yongfu Su

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.101

zbMATH Keywords

convergencenonexpansive mappingBanach spacecommon fixed pointMann iterationiterative approximationcomposite implicite iteration

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 (8)

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings ⋮ Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications ⋮ A new modified hybrid steepest-descent by using a viscosity approximation method with a weakly contractive mapping for a system of equilibrium problems and fixed point problems with minimization problems ⋮ Duality fixed point and zero point theorems and applications ⋮ General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings ⋮ Weak and strong convergence of the Ishikawa iterative process for a finite family of asymptotically nonexpansive mappings ⋮ On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces ⋮ Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings

Cites Work

• Unnamed Item
• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES

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