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

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

doi:10.2478/candc-2025-0001

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

Control and Cybernetics

Volume 54 (2025): Issue 1 (March 2025)

By: Cristina-Florentina Pîrje, Savin Treanţă, Yating Guo, Balendu Bhooshan Upadhyay and Fangfang Shi

Open Access

|Nov 2025

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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Articles in this issue

DOI: https://doi.org/10.2478/candc-2025-0001 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 5 - 25

Submitted on: Feb 1, 2025

Accepted on: Jul 1, 2025

Published on: Nov 29, 2025

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

control,

interval-valued optimization problem,

dual problem

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2025 Cristina-Florentina Pîrje, Savin Treanţă, Yating Guo, Balendu Bhooshan Upadhyay, Fangfang Shi, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 54 (2025): Issue 1 (March 2025)