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Strong convergence of the modified Mann iterative method for strict pseudo-contractions. (English) Zbl 1165.65353

Summary: We introduce a modified Mann iterative process for approximating a common fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and improve the recent ones announced by many others.

MSC:

65J15 Numerical solutions to equations with nonlinear operators
47H10 Fixed-point theorems
47J25 Iterative procedures involving nonlinear operators
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