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Artículo
Solutions of Optimization Problems on Hadamard Manifolds with Lipschitz Functions
(MDPI, 2020-05)
The aims of this paper are twofold. First, it is shown, for the first time, which types of nonsmooth functions are characterized by all vector critical points as being efficient or weakly efficient solutions of vector ...
Artículo
Optimality and duality on Riemannian manifolds
(Mathematical Society of the Republic of China, 2018-10)
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. ...
Artículo
Necessary and sufficient optimality conditions for vector equilibrium problems on Hadamard manifolds
(MDPI, 2019-08)
The aim of this paper is to show the existence and attainability of Karush-Kuhn-Tucker optimality conditions for weakly efficient Pareto points for vector equilibrium problems with the addition of constraints in the novel ...
Artículo
Solutions of optimization problems on Hadamard manifolds with Lipschitz functions
(MDPI, 2020-05-12)
The aims of this paper are twofold. First, it is shown, for the first time, which types of nonsmooth functions are characterized by all vector critical points as being efficient or weakly efficient solutions of vector ...
Artículo
Necessary and sufficient second-order optimality conditions on Hadamard manifolds
(MDPI, 2020-07-14)
This work is intended to lead a study of necessary and sufficient optimality conditions for scalar optimization problems on Hadamard manifolds. In the context of this geometry, we obtain and present new function types ...