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Mostrando ítems 1-10 de 11
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
Mixed Variational Inequality Interval-valued Problem: Theorems of Existence of Solutions
(Project Euclid, 2022-12-02)
In this article, our efforts focus on finding the conditions for the existence of solutions of Mixed Stampacchia Variational Inequality Interval-valued Problem on Hadamard manifolds with monotonicity assumption by using ...
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
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 ...
Artículo
Generalized convexity: Their applications to multiobjective programming
(Sociedad de Estadística e Investigación Operativa, 2015-07)
The aim of this paper is to show some applicable results to multiobjective optimization problems and the role that the Generalized Convexity plays in them. The study of convexity for sets and functions has special relevance ...
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
A Better Approach for Solving a Fuzzy Multiobjective Programming Problem by Level Sets
(MDPI, 2021-04-28)
In this paper, we deal with the resolution of a fuzzy multiobjective programming problem using the level sets optimization. We compare it to other optimization strategies studied until now and we propose an algorithm to ...
Artículo
Generalized convexity: Their applications to variational problems
(Sociedad de Estadística e Investigación Operativa, 2015-07)
The aim of this paper is to show one of the generalized convexity applications, generalized monotonicity particularly, to the variational problems study. These problems are related to the search of equilibrium conditions ...
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 ...