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  • Research Article
  • Open Access

Viscosity approximation fixed points for nonexpansive and -accretive operators

Fixed Point Theory and Applications20062006:81325

https://doi.org/10.1155/FPTA/2006/81325

  • Received: 10 June 2006
  • Accepted: 22 July 2006
  • Published:

Abstract

Let be a real reflexive Banach space, let be a closed convex subset of , and let be an -accretive operator with a zero. Consider the iterative method that generates the sequence by the algorithm where and are two sequences satisfying certain conditions, denotes the resolvent for , and let be a fixed contractive mapping. The strong convergence of the algorithm is proved assuming that has a weakly continuous duality map.

Keywords

  • Differential Geometry
  • Computational Biology

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Authors’ Affiliations

(1)
Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

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