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Dra. Vivanco-Orellana, Violeta
Nombre de publicaciĂ³n
Dra. Vivanco-Orellana, Violeta
Nombre completo
Vivanco Orellana, Violeta Nydia
Facultad
Email
vvivanco@ucsc.cl
ORCID
4 results
Research Outputs
Now showing 1 - 4 of 4
- PublicationProperly efficient solutions to non-differentiable multiobjective optimization problems(Universidad CatĂ³lica del Norte, 2018)
;Batista dos Santos, L. ;Rojas-Medar, M. A.In this work sufficient conditions are established to ensure that all feasible points are (properly) efficient solutions in non trivial situations, for a class of non-differentiable, non-convex multiobjective minimization problems. Considering locally Lipschitz functions and some results of non-differentiable analysis introduced by F. H. Clarke. - PublicationStrong and weak conditions of regularity and optimality(Instytut Matematyczny Polskiej Akademii Nauk, 2022)
; ;Osuna-GĂ³mez, R. ;Dos Santos, L.Rojas-Medar, M.Nondegenerate optimality conditions for Pareto and weak Pareto optimal solutions to multiobjective optimization problems with inequality and multi-equality constraints determined by FrĂ©chet differentiable functions are established. First, weak and strong regularity conditions are derived, in order to determine weak Karush–Kuhn–Tucker (positivity of at least one Lagrange multiplier associated with objective functions) and strong Karush–Kuhn–Tucker (positivity of all the Lagrange multipliers associated with objective functions) conditions. Subsequently, the class of problems for which every weak (resp. strong) Karush–Kuhn–Tucker point is weak (resp. strong) Pareto solution is characterized. In addition examples that illustrate our results are presented. - PublicationOptimality conditions for nonregular optimal control problems and duality(Taylor & Francis, 2018)
; ;Osuna-GĂ³mez, R. ;HernĂ¡ndez-JimĂ©nez, B.Rojas-Medar, M. A.We define a new class of optimal control problems and show that this class is the largest one of control problems where every admissible process that satisfies the Extended Pontryaguin Maximum Principle is an optimal solution of nonregular optimal control problems. In this class of problems the local and global minimum coincide. A dual problem is also proposed, which may be seen as a generalization of the Mond–Weir-type dual problem, and it is shown that the 2-invexity notion is a necessary and sufficient condition to establish weak, strong, and converse duality results between a nonregular optimal control problem and its dual problem. We also present an example to illustrate our results. - PublicationOptimality conditions for discrete-time control problems(Springer, 2020)
;Rojas Medar, Marko Antonio ;Isoton, Camila ;Batista dos Santos, LucelinaWe consider an optimal control problem governed by a system of nonlinear difference equations. We obtain the existence of the optimal control as well as first-order optimality conditions of Pontryagin type by using the Dubovitskii–Milyutin formalism. Also, we give the necessary and sufficient conditions for global optimality.