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An inertial-type method for solving image restoration problems

delete2023-07-19
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OA
AI
C
Chinedu Izuchukwu
Y
Yekini Shehu *
S
Simeon Reich
DOI:10.1007/s00500-023-08921-3delete
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摘要

摘要

En 中文
We first establish weak convergence results regarding an inertial Krasnosel'skii-Mann iterative method for approximating common fixed points of countable families of nonexpansive mappings in real Hilbert spaces with no extra assumptions on the considered countable families of nonexpansive mappings. The method of proof and the imposed conditions on the iterative parameters are different from those already available in the literature. We then present some applications to the Douglas-Rachford splitting method and image restoration problems, and compare the performance of our method with that of other popular inertial Krasnosel'skii-Mann methods which can be found in the literature.
Keyword:
Image Restoration
Douglas-Rachford splitting
Hilbert space
Inertial Krasnosel'skii-Mann method
Weak convergence

期刊

Soft Computing 封面图
Soft Computing
IF:
2.5
论文数:
1.0W
被引数:
2.1W

机构

U
University of Witwatersrand
学者数:
1.4W
论文数: 1.1W
被引数: 12
Z
Zhejiang Normal University
学者数:
1.3W
论文数: 8.4K
被引数: 1.2W
T
Technion Israel Institute of Technology
学者数:
1.6W
论文数: 1.5W
被引数: 2.0W
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