Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.13912 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917646838005760 |
|---|---|
| author | Yao, Yonghong Jolaoso, Lateef O. Shehu, Yekini |
| author_facet | Yao, Yonghong Jolaoso, Lateef O. Shehu, Yekini |
| contents | Many recently proposed gradient projection algorithms with inertial extrapolation step for solving quasi-variational inequalities in Hilbert spaces are proven to be strongly convergent with no linear rate given when the cost operator is strongly monotone and Lipschitz continuous. In this paper, our aim is to design an inertial type gradient projection algorithm for quasi-variational inequalities and obtain its linear rate of convergence. Therefore, our results fill in the gap for linear convergence results for inertial type gradient projection algorithms for quasi variational inequalities in Hilbert spaces. We perform numerical implementations of our proposed algorithm and give numerical comparisons with other related inertial type gradient projection algorithms for quasi variational inequalities in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear Convergence Results for Inertial Type Projection Algorithm for Quasi-Variational Inequalities Yao, Yonghong Jolaoso, Lateef O. Shehu, Yekini Optimization and Control Many recently proposed gradient projection algorithms with inertial extrapolation step for solving quasi-variational inequalities in Hilbert spaces are proven to be strongly convergent with no linear rate given when the cost operator is strongly monotone and Lipschitz continuous. In this paper, our aim is to design an inertial type gradient projection algorithm for quasi-variational inequalities and obtain its linear rate of convergence. Therefore, our results fill in the gap for linear convergence results for inertial type gradient projection algorithms for quasi variational inequalities in Hilbert spaces. We perform numerical implementations of our proposed algorithm and give numerical comparisons with other related inertial type gradient projection algorithms for quasi variational inequalities in the literature. |
| title | Linear Convergence Results for Inertial Type Projection Algorithm for Quasi-Variational Inequalities |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.13912 |