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Journal of Nonlinear and Variational Analysis
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zbMATH Open
Article . 2019
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Journal of Nonlinear and Variational Analysis
Article . 2019 . Peer-reviewed
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Iterative algorithms for split variational Inequalities and generalized split feasibility problems with applications

Iterative algorithms for split variational inequalities and generalized split feasibility problems with applications
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019Publisher:Mathematical Research PressJournal:Journal of Nonlinear and Variational Analysis, volume 3 (issn: 2560-6921, eissn: 2560-6778, Copyright policy )
Authors: Chidume, Charles E.; Nnakwe, Monday O.;

doi: 10.23952/jnva.3.2019.2.02

Iterative algorithms for split variational Inequalities and generalized split feasibility problems with applications

Abstract

Summary: In this paper, we present extragradient and modified extragradient iterative algorithms for solving a common solution of a finite family of split variational inequalities and generalized split feasibility problems. Applications of our main results to equilibrium and optimization problems are provided. A~numerical experiment is provided to illustrate the convergence of the sequences generated in our proposed algorithms.

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Keywords

strong convergence, split variational inequalities, Iterative procedures involving nonlinear operators, modified extragradient iterative algorithms, nonexpansive mappings, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., monotone mappings, equilibrium and optimization problems, Variational inequalities

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    popularity
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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!
2
Average
Average
Average
bronze