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The approximate solution of the general split variational inequality problem by intermixed iteration

Author(s)
Saechou, Kanyanee
Kangtunyakarn, Atid
Date Issued
January 1, 2025
Type
Article
DOI
10.37193/CJM.2025.03.03
Abstract
This paper first introduces a new problem that is the general split variational inequality problem and invents a mathematical tool for solving our new problem which is Lemma 2.5. Then, we establish and prove a strong convergence theorem aimed at finding an element of the set of the solution of the general split variational inequality problem. Furthermore, we apply our main theorem to demonstrate a strong convergence theorem for finding solutions to the split variational inequality problem, the split feasibility problem, and the minimization problem. Finally, we provide numerical examples to advocate our main result.
Citation
Carpathian Journal of Mathematics, 41(3), 631-640, 2025
Subjects

Fixed Point Problem

Intermixed Iteration

Nonexpansive Mapping

Split Variational Ine...

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