Persona:
Huerga Pastor, Lidia

Foto de perfil
Dirección de correo electrónico
ORCID
0000-0002-6634-3482
Fecha de nacimiento
Proyectos de investigación
Unidades organizativas
Puesto de trabajo
Apellidos
Huerga Pastor
Nombre de pila
Lidia
Nombre

Filtros

2020 - 20235
Restablecer filtros

Ajustes

Fecha de finalización: 2023 × Fecha de inicio: 2020 ×

Resultados de la búsqueda

Mostrando 1 - 5 de 5
  • Miniatura
    Publicación
    A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization
    (Springer Nature, 2020-11-18) Jiménez, B.; Luc, D. T.; Novo, V.; Huerga Pastor, Lidia
    In this paper, we introduce some new notions of quasi efficiency and quasi proper efficiency for multiobjective optimization problems that reduce to the most important concepts of approximate and quasi efficient solutions given up to now. We establish main properties and provide characterizations for these solutions by linear and nonlinear scalarizations. With the help of quasi efficient solutions, a generalized subdifferential of a vector mapping is introduced, which generates a number of approximate subdifferentials frequently used in optimization in a unifying way. The generalized subdifferential is related to the classical subdifferential of real functions by the method of scalarization. An application of generalized subdifferential to express optimality conditions for quasi efficient solutions is also given.
  • Miniatura
    Publicación
    Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions
    (Taylor & Francis, 2022-05-30) Jiménez, B.; Novo, V.; Vílchez, A.; Huerga Pastor, Lidia
    We consider a scalarization function, which was introduced by Eichfelder [Variable ordering structures in vector optimization. Berlin: Springer-Verlag; 2014 (Series in vector optimization)], based on the oriented distance of Hiriart–Urruty with respect to a general variable ordering structure (VOS). We first study the continuity of the composition of a set-valued map with the oriented distance. Then, using the obtained results, we study the continuity of the scalarization function by extending some concepts of continuity for cone-valued maps. As an application, convergence in the sense of Painlevé–Kuratowski of sets of weak minimal solutions is provided, with the vector criterion and a VOS. Illustrative examples are also given.
  • Miniatura
    Publicación
    Necessary Conditions for Nondominated Solutions in Vector Optimization
    (Springer Nature, 2020-08-07) Bao, Truong Q.; Jiménez, B.; Novo, V.; Huerga Pastor, Lidia
    In this paper, we study characterizations and necessary conditions for nondominated points of sets and nondominated solutions of vector-valued functions in vector optimization with variable domination structure. We study not only the case, where the intersection of all the involved domination sets has a nonzero element, but also the case, where it might be the singleton. While the first case has been studied earlier, the second case has not, to the best of our knowledge, done yet. Our results extend and improve the existing results in vector optimization with a fixed ordering cone and with a variable ordering structure.
  • Miniatura
    Publicación
    New Notions of Proper Efficiency in Set Optimization with the Set Criterion
    (Springer Nature, 2022-09-17) Jiménez, B.; Novo, V.; Huerga Pastor, Lidia
    In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given.
  • Miniatura
    Publicación
    On proper minimality in set optimization
    (Springer, 2023) Huerga Pastor, Lidia; Miglierina, Enrico; Molho, Elena; Novo, Vicente; https://orcid.org/0000-0003-3493-8198; https://orcid.org/0000-0001-9259-8916; https://orcid.org/0000-0001-9033-3180
    The aim of this paper is to extend some notions of proper minimality from vector optimization to set optimization. In particular, we focus our attention on the concepts of Henig and Geoffrion proper minimality, which are well-known in vector optimization. We introduce a generalization of both of them in set optimization with finite dimensional spaces, by considering also a special class of polyhedral ordering cone. In this framework, we prove that these two notions are equivalent, as it happens in the vector optimization context, where this property is well-known. Then, we study a characterization of these proper minimal points through nonlinear scalarization, without considering convexity hypotheses.