Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
Sachiko Atsushiba, Wataru Takahashi · Fixed Point Theory and Applications · 2005
Abstract 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.