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Implicit fixed point iterations for pseudocontractive mappings. (English) Zbl 1179.47060

The author studies the strong convergence of implicit Mann-type iteration processes with errors for pseudocontractive mappings in the setting of Hilbert and Banach spaces, respectively.

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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