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Strong convergence of modified Mann iteration for finite nonexpansive mappings. (English) Zbl 1186.47066

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)].

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)

Citations:

Zbl 1091.47055
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