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Cited 20 time in webofscience Cited 31 time in scopus
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Strong convergence of inertial forward-backward methods for solving monotone inclusions

Authors
Tan, BingCho, Sun Young
Issue Date
13-Oct-2022
Publisher
TAYLOR & FRANCIS LTD
Keywords
Inclusion problem; inertial forward& #8211; backward method; projection and contraction method; Tseng& apos; s splitting method; viscosity method
Citation
APPLICABLE ANALYSIS, v.101, no.15, pp.5386 - 5414
Indexed
SCIE
SCOPUS
Journal Title
APPLICABLE ANALYSIS
Volume
101
Number
15
Start Page
5386
End Page
5414
URI
https://scholarworks.bwise.kr/gnu/handle/sw.gnu/808
DOI
10.1080/00036811.2021.1892080
ISSN
0003-6811
Abstract
The paper presents four modifications of the inertial forward-backward splitting method for monotone inclusion problems in the framework of real Hilbert spaces. The advantages of our iterative schemes are that the single-valued operator is Lipschitz continuous monotone rather than cocoercive and the Lipschitz constant does not require to be known. The strong convergence of the suggested approaches is obtained under some standard and mild conditions. Finally, several numerical experiments in finite- and infinite-dimensional spaces are proposed to demonstrate the advantages of our algorithms over the existing related ones.
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