Hybrid Projection Algorithm for Two Finite Families of Asymptotically Quasiϕ-Nonexpansive Mappings in Reflexive Banach Spaces

DOI10.1080/01630563.2017.1354886zbMath1492.47076OpenAlexW2736461051MaRDI QIDQ4639190

Nguyen Trung Hieu, Nguyen Van Dung

Publication date: 3 May 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1354886

zbMATH Keywords

reflexive Banach spacehybrid projection algorithmasymptotically quasi \(\phi\)-nonexpansive mappings

Mathematics Subject Classification ID

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

Related Items

A new hybrid projection algorithm for equilibrium problems and asymptotically quasi \(\phi \)-nonexpansive mappings in Banach spaces

Cites Work

• Unnamed Item
• A new hybrid algorithm and its numerical realization for two nonexpansive mappings
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Convergence analysis of a monotone projection algorithm in reflexive Banach spaces
• Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Parallel and sequential hybrid methods for a finite family of asymptotically quasi \(\phi \)-nonexpansive mappings
• Strong convergence of modified Ishikawa iterations for nonlinear mappings
• Common solution to an equilibrium problem and a fixed point problem for an asymptotically quasi-\(\phi \)-nonexpansive mapping in intermediate sense
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Strong convergence of the CQ method for fixed point iteration processes
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Some results on a modified Mann iterative scheme in a reflexive Banach space
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• A new convergence theorem in a reflexive Banach space
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Parallel Hybrid Methods for a Finite Family of Relatively Nonexpansive Mappings
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A modified Halpern-type iteration algorithm for quasi-ϕ -asymptotically nonexpansive mappings and applications
• Generalized Projection Algorithms for Nonlinear Operators
• Fixed points of quasi-nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member