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Journal of Industrial and Management Optimization
Article . 2021 . Peer-reviewed
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zbMATH Open
Article . 2021
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New inertial method for generalized split variational inclusion problems

Authors: Chuasuk, Preeyanuch; Ogbuisi, Ferdinard; Shehu, Yekini; Cholamjiak, Prasit;

New inertial method for generalized split variational inclusion problems

Abstract

<p style='text-indent:20px;'>The purpose of this paper is to introduce a new inertial iterative method for solving split variational inclusion problems in real Hilbert spaces. We prove that the generated sequence converges weakly to the solution of the considered problem under some mild conditions. The major contributions of our results are: (ⅰ) to increase the rate of convergence of the method for solving split variational inclusion problem through the inertial extrapolation step, (ⅱ) to relax the choice of the inertial factor and show the inertial factor can be chosen greater than 1/3 unlike what is previously known before for inertial proximal point method in the literature (ⅲ) to show the numerical efficiency and superiority of our proposed method through some test example.</p>

Keywords

Numerical optimization and variational techniques, Convex programming, Numerical methods based on nonlinear programming, inertial method, Hilbert space, weak convergence, resolvent operator, maximal monotone operator, Set-valued and variational analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
gold