In this paper, inspired by Iemoto and Takahashi \cite{Iemoto-Taka}, we study the Halpern's method to approximate strongly fixed points of a nonexpansive mapping and of a nonspreading mapping. A crucial tool in our results is the regularization with the averaged mappings \cite{Byrne}.

Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.

On Strong Convergence of Halpern’s Method Using Averaged Type Mappings

CIANCIARUSO, Filomena;MARINO, Giuseppe;
2014

Abstract

Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.
In this paper, inspired by Iemoto and Takahashi \cite{Iemoto-Taka}, we study the Halpern's method to approximate strongly fixed points of a nonexpansive mapping and of a nonspreading mapping. A crucial tool in our results is the regularization with the averaged mappings \cite{Byrne}.
Halpern's method; Nonspreading mappings; Averaged Mappings; Nonexpansive Mappings; Fixed points
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/138188
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