A nonlinear split problem regarding variational inequalities and equilibrium problems

Split problems under linear transformations have been studied extensively in the literature. In this paper, we investigate a split problem under a nonlinear transformation, which consists of two variational inequalities and an equilibrium problem. We propose an iterative sequence for computing a solution to this split problem. Strong convergence theorem is achieved under additional standard conditions.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2024-09-27
DOI
https://doi.org/10.1186/s13660-024-03196-0
Citations
1
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.36

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article

A nonlinear split problem regarding variational inequalities and equilibrium problems

Maha Mohammed Saeed, Tzu-Chien Yin, Hind Alamri, Asim Asiri et al.
1 citations
Journal of Inequalities and Applications
Optimization and Variational Analysis
0.36
article

A nonlinear split problem regarding variational inequalities and equilibrium problems

Maha Mohammed Saeed, Tzu-Chien Yin, Hind Alamri, Asim Asiri, Nawab Hussain
article en
1 citations

Abstract

Split problems under linear transformations have been studied extensively in the literature. In this paper, we investigate a split problem under a nonlinear transformation, which consists of two variational inequalities and an equilibrium problem. We propose an iterative sequence for computing a solution to this split problem. Strong convergence theorem is achieved under additional standard conditions.

Journal of Inequalities and ApplicationsVol. 2024(1)
Taif University (SA), China Medical University (TW), King Abdulaziz University (SA), China Medical University Hospital (TW)
Taif University
Reduced inequalities
Openalex Percentile: Top 36%
Optimization and Variational Analysis
0.36
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A nonlinear split problem regarding variational inequalities and equilibrium problems — Maha Mohammed Saeed, Tzu-Chien Yin, et al. · Journal of Inequalities and Applications (2024) | TGRS Research Map | TGRS