Approximate Fixed Points of Nonexpansive Mappings

In this book we study iteration processes associated with a given nonlinear mapping which generate its approximate fixed point and in some cases converge to a fixed point of the mapping. We consider various classes of nonlinear single-valued as well as set-valued mappings including nonexpansive mappings, monotone nonexpansive mappings, uniformly locally nonexpansive mappings, mappings in metric spaces with a graph, and many other nonlinear mappings. We also study iteration processes under the presence of computational errors which always present in practice.