Proximal and Contraction method with Relaxed Inertial and Correction Terms for Solving Mixed Variational Inequality Problems
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915634775851008 |
|---|---|
| author | Nwakpa, Chidi Elijah Ofem, Austine Efut Okorie, Kalu Okam Izuchukwu, Chinedu Okeke, Chibueze Christian |
| author_facet | Nwakpa, Chidi Elijah Ofem, Austine Efut Okorie, Kalu Okam Izuchukwu, Chinedu Okeke, Chibueze Christian |
| contents | We propose in this paper a proximal and contraction method for solving a convex mixed variational inequality problem in a real Hilbert space. To accelerate the convergence of our proposed method, we incorporate an inertial extrapolation term, two correction terms, and a relaxation technique. We therefore obtain a weak convergence result under some mild assumptions. Finally, we present numerical examples to practically demonstrate the effectiveness of the relaxation technique, the inertial extrapolation term, and the correction terms in our proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18652 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proximal and Contraction method with Relaxed Inertial and Correction Terms for Solving Mixed Variational Inequality Problems Nwakpa, Chidi Elijah Ofem, Austine Efut Okorie, Kalu Okam Izuchukwu, Chinedu Okeke, Chibueze Christian Optimization and Control Numerical Analysis 47H09, 47H10, 49J53, 90C25 We propose in this paper a proximal and contraction method for solving a convex mixed variational inequality problem in a real Hilbert space. To accelerate the convergence of our proposed method, we incorporate an inertial extrapolation term, two correction terms, and a relaxation technique. We therefore obtain a weak convergence result under some mild assumptions. Finally, we present numerical examples to practically demonstrate the effectiveness of the relaxation technique, the inertial extrapolation term, and the correction terms in our proposed method. |
| title | Proximal and Contraction method with Relaxed Inertial and Correction Terms for Solving Mixed Variational Inequality Problems |
| topic | Optimization and Control Numerical Analysis 47H09, 47H10, 49J53, 90C25 |
| url | https://arxiv.org/abs/2511.18652 |