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 sol...

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Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 126 - 18
Main Authors Yin, Tzu-Chien, Hussain, Nawab, Alamri, Hind, Asiri, Asim, Saeed, Maha Mohammed
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 27.09.2024
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Analysis
Applications of Mathematics
Equilibrium
Equilibrium problem
Hilbert space
Inequalities
Linear transformations
Mathematical programming
Mathematics
Mathematics and Statistics
Nonlinear transformation
Split problem
Variational inequality
Equilibrium problem
49J53
Variational inequality
Nonlinear transformation
90C25
65K10
Split problem
49M37
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03196-0