On dual problems of second order for ( <i>ηξ</i> )-bonvex interval-valued control problems

Abstract The paper studies the dual problems of second order, associated with a new class of ( η, ξ ;)-bonvex interval-valued variational control problems. More precisely, by considering the corresponding necessary optimality conditions, we prove the associated duality (weak, strong, strictly converse) results under the new ( η , ξ )-bonvexity assumptions of the involved functionals. In addition, illustrative examples are provided in order to highlight the theoretical elements established in the paper.