Robust Semi-Infinite Interval Equilibrium Problem Involving Data Uncertainty: Optimality Conditions and Duality
Gabriel Ruiz-Garzón,
Rafaela Osuna-Gómez,
Antonio Rufián-Lizana,
Antonio Beato-Moreno
Affiliations
Gabriel Ruiz-Garzón
Instituto de Desarrollo Social y Sostenible (INDESS), Universidad de Cádiz, Campus de Jerez de la Frontera, Avda. de la Universidad s/n, 11405 Jerez de la Frontera, Spain
Rafaela Osuna-Gómez
Departamento de Estadística e I.O., Universidad de Sevilla, 41012 Sevilla, Spain
Antonio Rufián-Lizana
Departamento de Estadística e I.O., Universidad de Sevilla, 41012 Sevilla, Spain
Antonio Beato-Moreno
Departamento de Estadística e I.O., Universidad de Sevilla, 41012 Sevilla, Spain
In this paper, we model uncertainty in both the objective function and the constraints for the robust semi-infinite interval equilibrium problem involving data uncertainty. We particularize these conditions for the robust semi-infinite mathematical programming problem with interval-valued functions by extending the results from the literature. We introduce the dual robust version of the above problem, prove the Mond–Weir-type weak and strong duality theorems, and illustrate our results with an example.
