Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have
been described in many publications. In this monograph we try to present the methods in a
consolidated way. We introduce several classes of operators examine their properties define
iterative methods generated by operators from these classes and present general convergence
theorems. On this basis we discuss the conditions under which particular methods converge. A
large part of the results presented in this monograph can be found in various forms in the
literature (although several results presented here are new). We have tried however to show
that the convergence of a large class of iteration methods follows from general properties of
some classes of operators and from some general convergence theorems.
