Construction of Fixed Points for Asymptotically Nonexpansive Mappings
Gregory B. Passty · Proceedings of the American Mathematical Society · 1982
In uniformly convex Banach spaces with Fréchet differentiable norms (e.g. ${L^p}$, $1 < p < \infty$), fixed points for asymptotically nonexpansive mappings are constructed as weak limits of iterates of the mappings themselves or of related mappings.