@misc{10498/29698,
year = {2019},
url = {http://hdl.handle.net/10498/29698},
abstract = {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 (ICTP) and Interval Variationallike
Inequality Problems, both Stampacchia and Minty type. Pseudo
invex monotonicity condition ensures the existence of solutions
of the (ICTP) 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.},
organization = {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.},
publisher = {Taylor and Francis},
keywords = {Interval analysis},
keywords = {continuous-time programming problems},
keywords = {variational-like inequality problem},
keywords = {multiobjective optimization},
keywords = {economic application},
title = {The continuous-time problem with interval-valued functions: applications to economic equilibrium},
doi = {10.1080/10556788.2018.1464569},
author = {Ruiz Garzón, Gabriel and Osuna Gómez, Rafaela and Rufián Lizana, Antonio and Chalco-Cano, Yurilev},
}