Operators and Iterative Processes of Fejér Type: Theory and Applications (Inverse and III-Posed Problems Series)

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