RT journal article T1 Semi-infinite interval equilibrium problems: optimality conditions and existence results A1 Ruiz Garzón, Gabriel A1 Osuna Gómez, Rafaela A1 Rufián Lizana, Antonio A1 Beato-Moreno, Antonio A2 Estadística e Investigación Operativa K1 Equilibrium problem K1 Semi-infinite programming K1 Interval-valued functions AB This paper aims to obtain new Karush–Kuhn–Tucker optimality conditions for solutionsto semi-infinite interval equilibrium problems with interval-valued objective functions. TheKarush–Kuhn–Tucker conditions for the semi-infinite interval programming problem areparticular cases of those found in this paper for constrained equilibrium problem.We illustratethis with some examples. In addition, we obtain solutions to the interval equilibrium problemin the unconstrained case. The results presented in this paper extend the corresponding resultsin the literature. PB Springer SN 2238-3603 YR 2023 FD 2023 LK http://hdl.handle.net/10498/29700 UL http://hdl.handle.net/10498/29700 LA eng NO The research has been supported by FEDER Andalucía 2014-2020 (UPO-1381297) and by MICIN through grant MCIN/AEI/PID2021-123051NB-100. DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026