The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces

  • Authors:

  • Paul-Emile Maingé

  • Affiliations:

  • GRIMAAG, Université des Antilles-Guyane, Département Scientifique Interfacultaire, Campus de Schoelcher, 97230 Cedex, Martinique (F.W.I.), France

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2010

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Abstract

In this paper, we discuss the strong convergence of the viscosity approximation method, in Hilbert spaces, relatively to the computation of fixed points of operators in the wide class of quasi-nonexpansive mappings. Our convergence results improve previously known ones obtained for the class of nonexpansive mappings.