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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Vydané v:	Journal of mathematical analysis and applications Ročník 425; číslo 1; s. 55 - 70
Hlavní autori:	Combettes, Patrick L., Yamada, Isao
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.05.2015 Elsevier
Predmet:	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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