Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space
In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mapp...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/7793048 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553205721989120 |
|---|---|
| author | Sarawut Suwannaut |
| author_facet | Sarawut Suwannaut |
| author_sort | Sarawut Suwannaut |
| collection | DOAJ |
| description | In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational inequality problems is established. Furthermore, numerical examples are given to support the main theorem. |
| format | Article |
| id | doaj-art-8afa8f1a29a344dfa186ac4a8240533b |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8afa8f1a29a344dfa186ac4a8240533b2025-02-03T05:54:44ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/7793048Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert SpaceSarawut Suwannaut0Department of MathematicsIn this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational inequality problems is established. Furthermore, numerical examples are given to support the main theorem.http://dx.doi.org/10.1155/2024/7793048 |
| spellingShingle | Sarawut Suwannaut Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space Journal of Mathematics |
| title | Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space |
| title_full | Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space |
| title_fullStr | Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space |
| title_full_unstemmed | Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space |
| title_short | Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space |
| title_sort | subgradient extragradient method for finite lipschitzian demicontractions and variational inequality problems in a hilbert space |
| url | http://dx.doi.org/10.1155/2024/7793048 |
| work_keys_str_mv | AT sarawutsuwannaut subgradientextragradientmethodforfinitelipschitziandemicontractionsandvariationalinequalityproblemsinahilbertspace |