Inertial subgradient projection techniques for solving a class of bilevel equilibrium problems

In this paper, we introduce a new algorithm for solving bilevel equilibrium problems with nonexpansive and pseudocontractive mappings in a real Hilbert space. The proposed algorithm is based on subgradient method with Armijo-type linesearch process, subgradient method, and inertial projection techni...

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Bibliographic Details
Published inOptimization Vol. 74; no. 10; pp. 2499 - 2532
Main Authors Anh, Pham Ngoc, Tu, Ho Phi, Phi Dung, Hoang
Format Journal Article
LanguageEnglish
Published Taylor & Francis 27.07.2025
Subjects
Bilevel equilibrium problems
Lipschitz continuous
projection method
pseudomonotone
subgradient
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Summary:In this paper, we introduce a new algorithm for solving bilevel equilibrium problems with nonexpansive and pseudocontractive mappings in a real Hilbert space. The proposed algorithm is based on subgradient method with Armijo-type linesearch process, subgradient method, and inertial projection techniques. By choosing the suitable regular parameters, we prove strong convergence of the algorithm under classical conditions of the cost bifunctions.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2024.2354458