Compositions and convex combinations of averaged nonexpansive operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:425

Article

Combettes, Patrick L.¹  Yamada, Isao² 

[1] Univ Paris 06, Sorbonne Univ, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

[2] Tokyo Inst Technol, Dept Commun & Comp Engn, Tokyo 1528550, Japan

关键词: Averaged operator;    Fixed-point algorithm;    Forward-backward splitting;    Monotone operator;    Nonexpansive operator;   

DOI  :  10.1016/j.jmaa.2014.11.044

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free