DocumentCode
778275
Title
An inequality concerning nonexpansive mappings
Author
Sandberg, Irwin W.
Author_Institution
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
Volume
43
Issue
4
fYear
1996
fDate
4/1/1996 12:00:00 AM
Firstpage
335
Lastpage
338
Abstract
In recent results concerning nonexpansive maps and the problem of iteratively solving nonlinear equations of the form Qx=y in a Hilbert space (application areas include networks and signal processing), a certain inequality plays a central role. Here we consider the case in which Q is continuously Frechet differentiable and we give criteria under which the inequality is satisfied
Keywords
Hilbert spaces; iterative methods; nonlinear equations; Hilbert space; continuously Frechet differentiable; iterative solutions; mapping inequality; nonexpansive mappings; nonlinear equations; Delay; Equations; Kernel; Mathematical analysis; Nonlinear filters; Nonlinear systems; Parameter estimation;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.488813
Filename
488813
Link To Document