A Generalization of Halpern Iteration. Preliminary Results
Functional Analysis
2009-02-18 v1
Abstract
A generalization of a viscosity generalized Halpern iteration scheme is analyzed. It is proven that the solution converges asymptotically strongly to a unique fixed point of an asymptotically nonexpansive mapping which drives the iteration together with a contractive self-mapping, a viscosity term and two driving external forcing terms.
Keywords
Cite
@article{arxiv.0902.2981,
title = {A Generalization of Halpern Iteration. Preliminary Results},
author = {M. De la Sen},
journal= {arXiv preprint arXiv:0902.2981},
year = {2009}
}