First and Second-Order Conditions for Interval Optimization Problems by using generalized interval differences

B. Hernández Jiménez, B. Hernández Jiménez, Y. Chalco-Cano, A. Ramos

First- and second-order conditions for
general constrained interval optimization problems are obtained using new suitable directional derivatives based on generalized Hukuhara differences, which generalize
the previous ones. We derive necessary and sufficient optimality conditions
that cover cases where the endpoints of the interval-valued function may not
be smooth or convex. Important statements are illustrated by examples.

Keywords: Interval optimization optimality conditions generalized Hukuhara differences

J. Camacho Moro, M. J. Cánovas Cánovas, H. Gfrerer, J. Parra López

E. Hernández García, J. Perán Mazón

R. Rodríguez-López