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Strong convergence of implicit iterative sequence with errors for a finite family of strictly pseudocontractive mappings. (Chinese. English summary) Zbl 1199.47305

Summary: The purpose of this paper is to study the strong convergence of a process of implicit iteration with errors to a common fixed point for a finite family of strictly pseudocontractive mappings under suitable conditions. The results in this paper improve the corresponding results of M. O.Osilike [J. Math.Anal.Appl.294, No.1, 73–81 (2004; Zbl 1045.47056)] and H.-K.Xu and R.G.Ori [Numer.Funct.Anal.Optimization 22, No.5–6, 767–773 (2001; Zbl 0999.47043)].

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
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