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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Vydané v:	Optimization Ročník 70; číslo 9; s. 1959 - 1986
Hlavní autori:	He, Songnian, Dong, Qiao-Li, Tian, Hanlin, Li, Xiao-Huan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia Taylor & Francis 02.09.2021 Taylor & Francis LLC
Predmet:	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
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