Iterative Approximation of Fixed Points

• Κύριος συγγραφέας: Berinde, Vasile (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes in Mathematics, 1912
• Θέματα: Mathematics.; Operator theory.; Numerical analysis.; Topology.; Operator Theory.; Numerical Analysis.

The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard...

Πίνακας περιεχομένων:

• Pre-Requisites of Fixed Points
• The Picard Iteration
• The Krasnoselskij Iteration
• The Mann Iteration
• The Ishikawa Iteration
• Other Fixed Point Iteration Procedures
• Stability of Fixed Point Iteration Procedures
• Iterative Solution of Nonlinear Operator Equations
• Error Analysis of Fixed Point Iteration Procedures.