Convergence of path and an iterative method for families of nonexpansive mappings

DOI10.1080/00036810701620619zbMath1145.47048OpenAlexW2110339450WikidataQ58242190 ScholiaQ58242190MaRDI QIDQ5448693

Bashir Ali, Charles E. Chidume

Publication date: 7 March 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701620619

zbMATH Keywords

strong convergencenonexpansive mappinguniformly Gâteaux differentiable norm\(q\)-uniformly smooth Banach spaceiterative sequencedemicompact operator

Mathematics Subject Classification ID

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

Related Items

An improved fast iterative shrinkage thresholding algorithm with an error for image deblurring problem ⋮ Split monotone variational inclusion with errors for image-feature extraction with multiple-image blends problem ⋮ Approximation methods for common fixed points for a countable family of nonexpansive mappings

Cites Work

• Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces
• Iterative approaches to convex feasibility problems in Banach spaces
• Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
• Inequalities in Banach spaces with applications
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• Fixed points of nonexpanding maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Two fixed-point theorems concerning bicompact convex sets

This page was built for publication: Convergence of path and an iterative method for families of nonexpansive mappings