Published in Volume XV, 2005, pages 47-56

Authors: Stefan MARUSTER

Abstract

The weak and strong convergence of a sequence generated by the Mann-type iteration are investigated in a real Hilbert space framework. Some applications to the projection method for the convex feasibility problem are given. The key for the strong convergence in a Hilbert space is a property concerning the intersection of a family of convex closed sets (Lemma 1).

Bibtex

@article{sacscuza:maruster2005qatcfp,
  title={Quasi-nonexpansivity and the Convex Feasibility Problem.},
  author={Stefan MARUSTER},
  journal={Scientific Annals of Computer Science},
  volume={15},
  organization={``A.I. Cuza'' University, Iasi, Romania},
  year={2005},
  pages={47--56},
  publisher={``A.I. Cuza'' University Press}
}