Skip to content


  • Research Article
  • Open Access

Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

Fixed Point Theory and Applications20052005:906783

Received: 24 February 2005

Published: 25 October 2005


We introduce an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly convex Banach space which satisfies Opial's condition. Further, we discuss the strong convergence of the implicit iterative process.

Authors’ Affiliations

Department of Mathematics, Shibaura Institute of Technology, Saitama-City, Japan
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan


© Atsushiba and Takahashi 2005