A new hybrid algorithm for \(\lambda\)-strict asymptotically pseudocontractions in 2-uniformly smooth Banach spaces

DOI10.1155/2012/673680zbMath1386.47009OpenAlexW2018585806WikidataQ58695840 ScholiaQ58695840MaRDI QIDQ1925408

Xin-dong Liu, Shi Sheng Zhang

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/673680

zbMATH Keywords

strong convergencemetric projectionhybrid projection algorithm\(\lambda\)-strict asymptotically pseudocontractive mapping

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence theorems for a countable family of quasi-\(\phi \)-asymptotically nonexpansive nonself mappings
• A modified Halpern-type iteration algorithm for totally quasi-\(\phi \)-asymptotically nonexpansive mappings with applications
• Strong convergence theorems for countable families of asymptotically relatively nonexpansive mappings with applications
• Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections
• On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings
• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators
• Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
• An implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spaces
• Demiclosedness principle and convergence theorems for \(k\)-strictly asymptotically pseudocontractive maps
• Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
• Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space
• The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings
• Approximating solutions of variational inequalities for asymptotically nonexpansive mappings
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
• Halpern-type iterations for strongly relatively nonexpansive mappings in Banach spaces
• Approximating fixed points of nonexpansive mappings in a Banach space by metric projections
• Composite implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Inequalities in Banach spaces with applications
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Strong Convergence of Approximating Fixed Point Sequences for Nonexpansive Mappings

This page was built for publication: A new hybrid algorithm for \(\lambda\)-strict asymptotically pseudocontractions in 2-uniformly smooth Banach spaces