Artículo
Monotone and accretive vector fields on Riemannian manifolds
Autor/es | Wang, Jinhua
López Acedo, Genaro Martín Márquez, Victoria Li, Chong |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2010-09 |
Fecha de depósito | 2016-10-27 |
Publicado en |
|
Resumen | The relationship between monotonicity and accretivity on Riemannian manifolds is studied in this paper and both concepts are proved to be equivalent in Hadamard manifolds. As a consequence an iterative method is obtained ... The relationship between monotonicity and accretivity on Riemannian manifolds is studied in this paper and both concepts are proved to be equivalent in Hadamard manifolds. As a consequence an iterative method is obtained for approximating singularities of Lipschitz continuous, strongly monotone mappings. We also establish the equivalence between the strong convexity of convex functions and the strong monotonicity of its subdifferentials on Riemannian manifolds. These results are then applied to solve the minimization problem of convex functions on Riemannian manifolds. |
Identificador del proyecto | MTM2009-110696-C02-01
FQM-127 10731060 |
Cita | Wang, J., López Acedo, G., Martín Márquez, V. y Li, C. (2010). Monotone and accretive vector fields on Riemannian manifolds. Journal of Optimization Theory and Applications, 146 (3), 691-708. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Monotone and accretive vector ... | 191.1Kb | [PDF] | Ver/ | |