Optimality and Duality on Riemannian Manifolds

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URI: http://hdl.handle.net/10498/29697

DOI: 10.11650/tjm/180501

ISSN: 1027-5487

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Author/s
Ruiz Garzón, GabrielAuthority UCA; Osuna Gómez, Rafaela; Rufián Lizana, Antonio; Hernández Jiménez, Beatriz
Date
2018
Department
Estadística e Investigación Operativa
Source
Taiwanese Journal of Mathematics- 2018, vol. 22, n. 5, pp. 1245-1259
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 e cient 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.
Subjects
Optimality; Riemannian manifolds
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