A modified Picard-Mann hybrid iterative algorithm for common fixed points of countable families of nonexpansive mappings

DOI10.1186/1687-1812-2014-58zbMath1332.47043OpenAlexW2127182821WikidataQ59324055 ScholiaQ59324055MaRDI QIDQ2017364

Wei-Qi Deng

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-58

zbMATH Keywords

strong convergenceweak convergencecommon fixed pointscountable families of nonexpansive mappingsPicard-Mann hybrid iteration

Mathematics Subject Classification ID

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

Related Items

New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors, On new Picard-Mann iterative approximations with mixed errors for implicit midpoint rule and applications

Cites Work

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• Iterative construction of fixed points of asymptotically nonexpansive mappings
• An implicit iteration process for common fixed points of two infinite families of asymptotically nonexpansive mappings in Banach spaces
• Viscosity method for hierarchical fixed point and variational inequalities with applications
• A Picard-Mann hybrid iterative process
• New viscosity method for hierarchical fixed point approach to variational inequalities
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings