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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
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 ...
Article
Duality in Nondifferentiable Vector Programming
(Elsevier, 2001)
Article
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 ...
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 ...
Article
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 ...
Article
Generalized Convexity in Multiobjective Programming
(Elsevier, 1999)
Article
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 ...