Optimality and duality on 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 t...

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Detalles Bibliográficos
Autores: Ruíz-Garzón, Gabriel, Osuna-Gómez, Rafaela, Rufián-Lizana, Antonio, Hernández-Jiménez, Beatriz
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Pablo de Olavide (UPO)
Repositorio:RIO. Repositorio Institucional Olavide
Idioma:inglés
OAI Identifier:oai:rio.upo.es:10433/19469
Acceso en línea:https://hdl.handle.net/10433/19469
Access Level:acceso abierto
Palabra clave:generalized convexity
Riemannian manifolds
efficient solutions
duality
Descripción
Sumario: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.