Operators and Iterative Processes of Fejer Type

This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejèr property. The book is elementary, self-contained and uses methods from functional analysis, with a special focus on the construction of iterative schemes. Applications to parallelization, randomization and linear programming are also considered. From the contents: General properties of nonlinear operators of Fejèr type Applications of iterative processes to nonlinear equations Fejèr methods for linear and convex inequalities Some topics of Fejèr mappings and processes

Vladimir V. Vasin and Ivan I. Eremin, Institute of Mathematics and Mechanics, Ekaterinburg, Russia.