The asymptotic behavior of the composition of firmly nonexpansive mappings
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature bounded above. For this purpose, we analyze the asymptotic behavior of compos...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/42607 |
| Acceso en línea: | http://hdl.handle.net/11441/42607 https://doi.org/10.1007/s10957-015-0710-3 |
| Access Level: | acceso abierto |
| Palabra clave: | firmly nonexpansive mapping convex optimization convex feasibility problem p-uniformly convex geodesic space CAT(κ) space |
| Sumario: | In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature bounded above. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings in the setting of p-uniformly convex geodesic spaces focusing on asymptotic regularity and convergence results. |
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