On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings

DOI10.1016/j.aml.2009.08.006zbMath1225.47090OpenAlexW2082833147MaRDI QIDQ1049261

Chang Song Hu, Gang Cai

Publication date: 8 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.08.006

zbMATH Keywords

strong convergenceimplicit iterationhybrid projection methodrelatively weak quasi-nonexpansive mapping

Mathematics Subject Classification ID

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

Related Items

Approximating common fixed points of Bregman weakly relatively nonexpansive mappings in Banach spaces ⋮ Hybrid projection methods for Bregman totally quasi-D-asymptotically nonexpansive mappings ⋮ A hybrid iterative scheme for variational inequality problems for finite families of relatively weak quasi-nonexpansive mappings ⋮ Convergence theorems of shrinking projection methods for equilibrium problem, variational inequality problem and a finite family of relatively quasi-nonexpansive mappings ⋮ The modified Ishikawa iterative algorithm with errors for a countable family of Bregman totally quasi-\(D\)-asymptotically nonexpansive mappings in reflexive Banach spaces

Cites Work

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• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Fixed points of nonexpanding maps

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