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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.
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