Characterizations of metric projections in Banach spaces and applications.
Classical hierarchies form a modern standpoint. Part III. BP-sets
Codimension one minimal projections in Banach spaces and a mathematical programming problem [Book]
Compactly epi-Lipschitzian convex sets and functions in normed spaces.
Complementarity problem for -monotone-type maps.
Completely generalized nonlinear variational inclusions for fuzzy mappings
In this paper, we introduce and study a new class of completely generalized nonlinear variational inclusions for fuzzy mappings and construct some new iterative algorithms. We prove the existence of solutions for this kind of completely generalized nonlinear variational inclusions and the convergence of iterative sequences generated by the algorithms.
Cone-constrained linear equations in Banach spaces.
Constrained optimization: A general tolerance approach
To overcome the somewhat artificial difficulties in classical optimization theory concerning the existence and stability of minimizers, a new setting of constrained optimization problems (called problems with tolerance) is proposed using given proximity structures to define the neighbourhoods of sets. The infimum and the so-called minimizing filter are then defined by means of level sets created by these neighbourhoods, which also reflects the engineering approach to constrained optimization problems....
Convergence d'un schéma de minimisation alternée
Convergence results for a class of abstract continuous descent methods.
Convex functionals with good asymptotic behavior on a subset.
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
Efficiency and Choquet boundaries in separated locally convex spaces.
El contraste de hipótesis compuesta frente a alternativa simple como problema de programación matemática infinita.