Compositions and convex combinations of averaged nonexpansive operators

Properties of compositions and convex combinations of averaged nonexpansive operators are investigated and applied to the design of new fixed point algorithms in Hilbert spaces. An extended version of the forward–backward splitting algorithm for finding a zero of the sum of two monotone operators is...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 425; no. 1; pp. 55 - 70
Main Authors:	Combettes, Patrick L., Yamada, Isao
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.05.2015 Elsevier
Subjects:	Averaged operator Fixed-point algorithm Forward–backward splitting Mathematics Monotone operator Nonexpansive operator Optimization and Control Averaged operator Nonexpansive operator Monotone operator Fixed-point algorithm Forward–backward splitting
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	Properties of compositions and convex combinations of averaged nonexpansive operators are investigated and applied to the design of new fixed point algorithms in Hilbert spaces. An extended version of the forward–backward splitting algorithm for finding a zero of the sum of two monotone operators is obtained.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2014.11.044