Vol. 20 (2010)
Articles

Iterative method for families of nonexpansive maps

S. J. Aneke
Department of Mathematics, University of Nigeria, Nsukka, NIGERIA

Publicado 2010-08-29

Palabras clave

  • demiclosed,
  • duality map,
  • fixed point,
  • nonexpansive maps,
  • strict contraction,
  • weakly sequentially continuous.
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Resumen

In this paper, we study an iterative method for approximating a common fixed point of a countably family of nonexpansive mappings in a Banach space. Our result is a generalization of the results of Bauschke [1], Maingé [12] and Chidume and Ali [4]. An asymptotic version of this class of operators is also studied and similar results obtained in a Banach space.

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