Iterative Methods for Fixed Point Problems in Hilbert Spaces

• Main Author: Cegielski, Andrzej (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2057
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Numerical analysis.; Mathematical optimization.; Calculus of variations.; Optimization.; Functional Analysis.; Calculus of Variations and Optimal Control; Optimization.; Numerical Analysis.; Operator Theory.

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 gener...

Table of Contents:

• 1 Introduction
• 2 Algorithmic Operators
• 3 Convergence of Iterative Methods
• 4 Algorithmic Projection Operators
• 5 Projection methods.