Corpus ID: 115167672

# ${\cal T}$-class algorithms for pseudocontractions and $\kappa$-strict pseudocontractions in Hilbert spaces

@article{Chancelier2007calTA,
title={\$\{\cal T\}\$-class algorithms for pseudocontractions and \$\kappa\$-strict pseudocontractions in Hilbert spaces},
author={J. Chancelier},
journal={arXiv: Optimization and Control},
year={2007}
}
• J. Chancelier
• Published 2007
• Mathematics
• arXiv: Optimization and Control
In this paper we study iterative algorithms for finding a common element of the set of fixed points of $\kappa$-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… Expand

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