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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-09-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-021-02698-5 |
| _version_ | 1818935469512065024 |
|---|---|
| author | Chanitnan Jaipranop Satit Saejung |
| author_facet | Chanitnan Jaipranop Satit Saejung |
| author_sort | Chanitnan Jaipranop |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-20T05:20:40Z |
| format | Article |
| id | doaj.art-810d847c9dd6486a8f4d84002d235177 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-20T05:20:40Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-810d847c9dd6486a8f4d84002d2351772022-12-21T19:52:02ZengSpringerOpenJournal 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 |
| 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 |
| title | 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_short | On iterative methods for bilevel equilibrium problems |
| title_sort | on iterative methods for bilevel equilibrium problems |
| 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 |