Jung, Jong Soo Strong convergence of modified Mann iteration for finite nonexpansive mappings. (English) Zbl 1186.47066 J. Concr. Appl. Math. 7, No. 2, 155-171 (2009). The author introduces and studies a modified Mann interative scheme for the common fixed points of some finite nonexpansive mappings, generalizing some results by T. H. Kim and H. K. Xu [Nonlinear Anal., Theory Methods Appl. 61, No. 1–2 (A), 51–60 (2005; Zbl 1091.47055)]. Reviewer: Ioan A. Rus (Cluj-Napoca) MSC: 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems 49M05 Numerical methods based on necessary conditions 47J20 Variational and other types of inequalities involving nonlinear operators (general) 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Keywords:Mann iteration; nonexpansive mapping; common fixed points; reflexive Banach space Citations:Zbl 1091.47055 PDFBibTeX XMLCite \textit{J. S. Jung}, J. Concr. Appl. Math. 7, No. 2, 155--171 (2009; Zbl 1186.47066)