RT journal article
T1 The continuous-time problem with interval-valued functions: applications to economic equilibrium
A1 Ruiz Garzón, Gabriel
A1 Osuna Gómez, Rafaela
A1 Rufián Lizana, Antonio
A1 Chalco-Cano, Yurilev
A2 Estadística e Investigación Operativa
K1 Interval analysis
K1 continuous-time programming problems
K1 variational-like inequality problem
K1 multiobjective optimization
K1 economic application
AB The aim of this paper is to define the Continuous-Time Problemin an interval context and to obtain optimality conditions for thisproblem. In addition, we will find relationships between solutionsof Interval Continuous-Time Problem (ICTP) and Interval VariationallikeInequality Problems, both Stampacchia and Minty type. Pseudoinvex monotonicity condition ensures the existence of solutionsof the (ICTP) problem. These results generalize similar conclusionsobtained in Euclidean or Banach spaces inside classical mathematicalprogramming problems or Continuous-Time Problems. We will finishgeneralizing the existence of Walrasarian equilibrium price modeland the Wardrop’s principle for traffic equilibrium problem to anenvironment of interval-valued functions.
PB Taylor and Francis
SN 1055-6788
YR 2019
FD 2019
LK http://hdl.handle.net/10498/29698
UL http://hdl.handle.net/10498/29698
LA eng
NO The research in this paper has been partially supported by Ministerio de Economía y Competitividad,Spain, through grant MTM2015-66185-P and Proyectos I+D 2015 MTM2015-66185-P(MINECO/FEDER) and Fondecyt, Chile, grant 1151154.
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026