Article
Optimality and duality on Riemannian manifolds
Author/s | Ruiz Garzón, Gabriel
Osuna Gómez, Rafaela Rufián Lizana, Antonio Hernández Jiménez, Beatriz |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2018-10 |
Deposit Date | 2018-10-11 |
Published in |
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Abstract | Our goal in this paper is to translate results on function classes that are
characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. ... Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature. We also obtain duality results and give examples to illustrate it. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2015-66185-P |
Citation | Ruiz Garzón, G., Osuna Gómez, R., Rufián Lizana, A. y Hernández Jiménez, B. (2018). Optimality and duality on Riemannian manifolds. Taiwanese Journal of Mathematics, 22 (5), 1245-1259. |
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