Descent methods for convex optimization problems in Banach spaces.
Dualidad de Haar y problemas de momentos.
En la primera parte de este trabajo damos una versión simplificada de la conocida relación entre la dualidad en Programación Semi-Infinita y cierta clase de problemas de momentos, basándonos en las propiedades de los sistemas de Farkas-Minkowski. Planteamos a continuación otra clase de problemas de momentos para cuyo análisis resulta de utilidad una generalización del Lema de Farkas.
Duality in Constrained DC-Optimization via Toland’s Duality Approach
2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In this paper we reconsider a nonconvex duality theory established by B. Lemaire and M. Volle (see [4]), related to a primal problem of minimizing the difference of two convex functions subject to a DC-constraint. The purpose of this note is to present a new method based on Toland-Singer duality principle. Applications to the case when the constraints are vector-valued are provided.
Duality in vector optimization. I. Abstract duality scheme
Duality in vector optimization. II. Vector quasiconcave programming
Duality in vector optimization. III. Vector partially quasiconcave programming and vector fractional programming
Duality theory in mathematical programming and optimal control