Optimality and Duality Results for new Classes of Nonconvex Quasidifferentiable Vector Optimization Problems
- T. Antczak 1
- M. Arana-Jiménez 2
- 1 Faculty of Mathematics and Computer Science, University of Lódź, Banacha 22, 90-238 Lódź, Poland
- 2 Department of Statistics and Operational Research, Research Universitary Institute for Sustainable Social Development, University of Cádiz, Spain
ISSN: 1683-6154, 1683-3511
Año de publicación: 2022
Volumen: 21
Número: 1
Páginas: 21-34
Tipo: Artículo
Otras publicaciones en: Applied and Computational Mathematics
Resumen
In the paper, new classes of nonconvex quasidifferentiable vector optimization problems with the inequality constraints are considered. Namely, the concepts of KT-invexity and MW-invexity with respect to convex compact sets are introduced for multiobjective programming problems with inequality constraints. Then the sufficient optimality conditions are established for the considered quasidifferentiable vector optimization problem if it is KT-invex with respect to convex compact sets which are equal to Minkowski sum of subdifferentials and superdifferentials of the involved functions. Also several duality results in the sense of Mond-Weir are established for the quasidifferentiable MW-invex vector optimization problem with respect to convex compact sets which are equal to Minkowski sum of subdifferentials and superdifferentials of the involved functions.