Nonlinear ergodic theorems for general curves defined on general semigroups. (Q1413248)

Let \(G\) be a semigroup and \(H\) be a real Hilbert space. An ergodic convergence theorem is given for asymptotically nonexpansive-type curves from \(G\) to \(H\). This, in turn, is used to get a similar property involving the almost orbits of semitopological semigroups of non-Lipschitzian mappings without convexity.