TY  - BOOK
AU  - Cegielski,Andrzej
ED  - SpringerLink (Online service)
TI  - Iterative Methods for Fixed Point Problems in Hilbert Spaces
T2  - Lecture Notes in Mathematics,
SN  - 9783642309014
AV  - QA402.5-402.6 
U1  - 519.6 23
PY  - 2013///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Functional analysis
KW  - Operator theory
KW  - Numerical analysis
KW  - Mathematical optimization
KW  - Calculus of variations
KW  - Optimization
KW  - Functional Analysis
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Numerical Analysis
KW  - Operator Theory
N1  - 1 Introduction -- 2 Algorithmic Operators -- 3 Convergence of Iterative Methods -- 4 Algorithmic Projection Operators -- 5 Projection methods
N2  - 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 generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems
UR  - http://dx.doi.org/10.1007/978-3-642-30901-4
ER  -