On Strong convergence of Halpern's method using averaged type mappings
Functional Analysis
2014-05-06 v1
Abstract
In this paper, inspired by Iemoto and Takahashi [S. Iemoto, W. Takahashi, Nonlinear Analysis 71, (2009), 2082-2089], 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 type mappings [C. Byrne, Inverse Probl. 20, (2004), 103-120].
Keywords
Cite
@article{arxiv.1405.0856,
title = {On Strong convergence of Halpern's method using averaged type mappings},
author = {Filomena Cianciaruso and Giuseppe Marino and Angela Rugiano and Bruno Scardamaglia},
journal= {arXiv preprint arXiv:1405.0856},
year = {2014}
}