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

Abstract : 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 general framework of ${\cal T}$-class algorithms studied in [H.H. Bauschke, P.L. Combettes].
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https://hal.archives-ouvertes.fr/hal-00193621
Contributor : Jean-Philippe Chancelier <>
Submitted on : Tuesday, December 4, 2007 - 11:06:33 AM
Last modification on : Friday, November 29, 2019 - 12:14:23 PM
Long-term archiving on: : Monday, April 12, 2010 - 5:58:34 AM

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non-exp-map-fejer-jpc.pdf
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• HAL Id : hal-00193621, version 1
• ARXIV : 0712.0528

### Citation

Jean-Philippe Chancelier. ${\cal T}$-class algorithms for pseudocontractions and $\kappa$-strict pseudocontractions in Hilbert spaces. 2007. ⟨hal-00193621⟩

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