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Article
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 ...
Article
Decision analysis: vector optimization theory
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1999)
Article
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. ...
Article
Modelización estadística de la suerte de varas
(Fundación de Estudios Taurinos, 2010)
Article
Some relations between variational-like inequalities and efficient solutions of certain nonsmooth optimization problems
(Hindawi, 2006)
We study the equivalence between the solutions of the variational-like inequality problem and the solutions of certain nonsmooth and nonconvex vectorial optimization problem.
Article
FJ-Invex control problem
(Elsevier, 2009)
This paper introduces a new condition on the functionals of a control problem and extends a recent characterization result of KT-invexity. We prove that the new condition, the FJinvexity, is both necessary and sufficient ...
Article
Some relations between Minty variational-like inequality problems and vectorial optimization problems in Banach spaces
(Elsevier, 2010)
This paper is devoted to the study of relationships between solutions of Stampacchia and Minty vector variational-like inequalities, weak and strong Pareto solutions of vector optimization problems and vector critical ...
Article
On the Newton method for solving fuzzy optimization problems
(Elsevier, 2015-08-01)
In this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. ...
Article
Duality in Nondifferentiable Vector Programming
(Elsevier, 2001)
Article
Approximate Efficient Solutions of the Vector Optimization Problem on Hadamard Manifolds via Vector Variational Inequalities
(MDPI, 2020-12-10)
This article has two objectives. Firstly, we use the vector variational-like inequalities problems to achieve local approximate (weakly) efficient solutions of the vector optimization problem within the novel field of the ...