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...

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Vydáno v:Journal of mathematical analysis and applications Ročník 425; číslo 1; s. 55 - 70
Hlavní autoři: Combettes, Patrick L., Yamada, Isao
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.05.2015
Elsevier
Témata:
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
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Shrnutí: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