Iterative Approximation of Fixed Points

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berinde, Vasile (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:2nd ed. 2007.
Colección:Lecture Notes in Mathematics, 1912
Temas:
Operator theory.
Numerical analysis.
Topology.
Operator Theory.
Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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