On iterative methods for bilevel equilibrium problems

On iterative methods for bilevel equilibrium problems

Abstract We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors. Our result excludes some assumptions as were the cases in their results.

Bibliographic Details
Main Authors: Chanitnan Jaipranop, Satit Saejung
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Journal of Inequalities and Applications
Subjects:
Bilevel equilibrium problems
Halpern sequence
Halpern–Korpelevič algorithm
Extragradient algorithm with line search technique
Online Access:https://doi.org/10.1186/s13660-021-02698-5
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spelling doaj-810d847c9dd6486a8f4d84002d2351772021-10-03T11:42:29ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-09-012021111810.1186/s13660-021-02698-5On iterative methods for bilevel equilibrium problemsChanitnan Jaipranop0Satit Saejung1Department of Applied Mathematics and Statistics, Faculty of Sciences and Liberal Arts, Rajamangala University of Technology IsanDepartment of Mathematics, Faculty of Science, Khon Kaen UniversityAbstract We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors. Our result excludes some assumptions as were the cases in their results.https://doi.org/10.1186/s13660-021-02698-5Bilevel equilibrium problemsHalpern sequenceHalpern–Korpelevič algorithmExtragradient algorithm with line search technique
collection DOAJ
language English
format Article
sources DOAJ
author Chanitnan Jaipranop
Satit Saejung
spellingShingle Chanitnan Jaipranop
Satit Saejung
On iterative methods for bilevel equilibrium problems
Journal of Inequalities and Applications
Bilevel equilibrium problems
Halpern sequence
Halpern–Korpelevič algorithm
Extragradient algorithm with line search technique
author_facet Chanitnan Jaipranop
Satit Saejung
author_sort Chanitnan Jaipranop
title On iterative methods for bilevel equilibrium problems
title_short On iterative methods for bilevel equilibrium problems
title_full On iterative methods for bilevel equilibrium problems
title_fullStr On iterative methods for bilevel equilibrium problems
title_full_unstemmed On iterative methods for bilevel equilibrium problems
title_sort on iterative methods for bilevel equilibrium problems
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2021-09-01
description Abstract We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors. Our result excludes some assumptions as were the cases in their results.
topic Bilevel equilibrium problems
Halpern sequence
Halpern–Korpelevič algorithm
Extragradient algorithm with line search technique
url https://doi.org/10.1186/s13660-021-02698-5
work_keys_str_mv AT chanitnanjaipranop oniterativemethodsforbilevelequilibriumproblems
AT satitsaejung oniterativemethodsforbilevelequilibriumproblems
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