Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
© Atsushiba and Takahashi 2005
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.