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;
2014-01-01
Abstract
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}.File in questo prodotto:
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