On dual problems of second order for (ηξ)-bonvex interval-valued control problems

Pîrje, Cristina-Florentina; Treanţă, Savin; Guo, Yating; Upadhyay, Balendu Bhooshan; Shi, Fangfang

doi:10.2478/candc-2025-0001

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.

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On dual problems of second order for (ηξ)-bonvex interval-valued control problems

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