In this paper, 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. (C) 2008 Elsevier Ltd. All rights reserved.
Strong convergence of the modified Mann iterative method for strict pseudo-contractions
MARINO, Giuseppe;COLAO, Vittorio;
2009-01-01
Abstract
In this paper, 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. (C) 2008 Elsevier Ltd. All rights reserved.File in questo prodotto:
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