${\cal T}$-class algorithms for pseudocontractions and $\kappa$-strict pseudocontractions in Hilbert spaces
Optimization and Control
2007-12-05 v1
Abstract
In this paper we study iterative algorithms for finding a common element of the set of fixed points of -strict pseudocontractions or finding a solution of a variational inequality problem for a monotone, Lipschitz continuous mapping. The last problem being related to finding fixed points of pseudocontractions. These algorithms were already studied in [G.L. Acedo, H.-K. Xu] and [N. Nadezhkina, W. Takahashi] but our aim here is to provide the links between these know algorithms and the general framework of -class algorithms studied in [H.H. Bauschke, P.L. Combettes].
Cite
@article{arxiv.0712.0528,
title = {${\cal T}$-class algorithms for pseudocontractions and $\kappa$-strict pseudocontractions in Hilbert spaces},
author = {Jean-Philippe Chancelier},
journal= {arXiv preprint arXiv:0712.0528},
year = {2007}
}