The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces

In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces. The strong convergence theorem of such method is proved under some suitable assumption on the parameters. As applications, we apply our main re...

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Bibliographic Details
Published in:Optimization Vol. 70; no. 12; pp. 2607 - 2633
Main Authors: Cholamjiak, Prasit, Pholasa, Nattawut, Suantai, Suthep, Sunthrayuth, Pongsakorn
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 02.12.2021
Taylor & Francis LLC
Subjects:
Banach space
Banach spaces
forward-backward algorithm
m-accretive operator
strong convergence
Viscosity
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary:In this paper, we propose a generalized viscosity explicit method for finding zeros of the sum of two accretive operators in the framework of Banach spaces. The strong convergence theorem of such method is proved under some suitable assumption on the parameters. As applications, we apply our main result to the variational inequality problem, the convex minimization problem and the split feasibility problem. The numerical experiments to illustrate the behaviour of the proposed method including compare it with other methods are also presented.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2020.1789131