Article
Monotone and accretive vector fields on Riemannian manifolds
Author/s | Wang, Jinhua
López Acedo, Genaro Martín Márquez, Victoria Li, Chong |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2010-09 |
Deposit Date | 2016-10-27 |
Published in |
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Abstract | 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. |
Project ID. | MTM2009-110696-C02-01
FQM-127 10731060 |
Citation | 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. |
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