A Proximal Algorithm with Bregman Like Distances to Equilibrium Problems with Quasimonotone Bifunctions in Hilbert Spaces
The paper introduces a proximal point algorithm for solving equilibrium problems on convex sets with quasimonotone bifunctions in Hilbert spaces using Bregman distances. Supposing appropriate hypothesis on the model, this paper proves that the sequence of points which are generated for the algorithm...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Perú |
| Recursos: | Universidad Nacional Mayor de San Marcos |
| Repositorio: | Revistas - Universidad Nacional Mayor de San Marcos |
| Idioma: | español |
| OAI Identifier: | oai:revistasinvestigacion.unmsm.edu.pe:article/24335 |
| Acesso em linha: | https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/24335 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hilbert spaces equilibrium problems quasimonotonicity Bregman distances proximal methods |
| Resumo: | The paper introduces a proximal point algorithm for solving equilibrium problems on convex sets with quasimonotone bifunctions in Hilbert spaces using Bregman distances. Supposing appropriate hypothesis on the model, this paper proves that the sequence of points which are generated for the algorithm converges weakly to certain solution point of the equlibrium problem. |
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