On the optimal relaxation parameters of Krasnosel'ski-Mann iteration

This paper is devoted to the optimal selection of the relaxation parameter sequence for Krasnosel'ski-Mann iteration. Firstly, we establish the optimal relaxation parameter sequence of the Krasnosel'ski-Mann iteration, with which the algorithm is proved to achieve the optimal convergence r...

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Bibliographic Details
Published in:	Optimization Vol. 70; no. 9; pp. 1959 - 1986
Main Authors:	He, Songnian, Dong, Qiao-Li, Tian, Hanlin, Li, Xiao-Huan
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 02.09.2021 Taylor & Francis LLC
Subjects:	Algorithms averaged mapping Douglas-Rachford splitting algorithm Fixed points (mathematics) forward-backward splitting algorithm Iterative methods Krasnosel'ski-Mann iteration nonexpansive mapping Operators optimal relaxation parameter Parameters Splitting
ISSN:	0233-1934, 1029-4945
Online Access:	Get full text
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