W. Kaczor et al., A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense, J MATH ANAL, 246(1), 2000, pp. 1-27
Let X be a uniformly convex Banach space such that its dual X* has the Kade
c-Klee property, C a bounded closed convex subset of X, and F = {T(t): t is
an element of [0, infinity)} a one-parameter nonlinear semigroup which is
asymptotically nonexpansive in the intermediate sense. We show that every c
ontinuous almost orbit of F is weakly almost convergent to a common fixed p
oint of F. A discrete version of our main result is also included. (C) 2000
Academic Press.