Articulo
The continuous-time problem with interval-valued functions: applications to economic equilibrium
OPTIMIZATION METHODS & SOFTWARE
Registro en:
1151154
1151154
Autor
Ruíz-Garzón, G
Osuna-Gómez, R
Rufián-Lizana, A
Chalco-Cano, Yurilev
Institución
Resumen
The aim of this paper is to define the Continuous-Time Problem in an interval context and to obtain optimality conditions for this problem. In addition, we will find relationships between solutions of Interval Continuous-Time Problem and Interval Variational-like Inequality Problems, both Stampacchia and Minty type. Pseudo invex monotonicity condition ensures the existence of solutions of the problem. These results generalize similar conclusions obtained in Euclidean or Banach spaces inside classical mathematical programming problems or Continuous-Time Problems. We will finish generalizing the existence of Walrasarian equilibrium price model and the Wardrop's principle for traffic equilibrium problem to an environment of interval-valued functions. Regular 2015 FONDECYT FONDECYT