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Artículo
Iterative algorithms for nonexpansive mappings on Hadamard manifolds
(The Mathematical Society of the Republic of China, 2010-04)
Two iterative algorithms for nonexpansive mappings on Hadamard manifolds, which are extensions of the well-known Halpern's and Mann's algorithms in Euclidean spaces, are proposed and proved to be convergent to a fixed ...
Artículo
Monotone and accretive vector fields on Riemannian manifolds
(Springer, 2010-09)
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 ...
Tesis Doctoral
Fixed point approximation methods for nonexpansive mappings: optimization problems
(2010)
En esta tesis, se estudia los problemas que aparecen en la conexión entre las teorías de operadores monótonos y aplicaciones no expansivas tanto en espacios lineales como no lineales. El Capítulo 1 está dedicado a diferentes ...