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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 5/2022

09.11.2021 | Original Research

Optimality and duality for second-order interval-valued variational problems

verfasst von: Vivek Dhingra, N. Kailey

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 5/2022

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Abstract

The paper studies the second-order interval-valued variational problem under \(\eta \)-bonvexity assumptions and proves the necessary optimality conditions. We investigate the functional which is \(\eta \)-bonvex but not invex. Further, we prove the duality theorems i.e. the weak and strong duality theorem to relate the values of the primal problem and dual problem. To validate the credibility of the weak duality theorem, we formulate an example of a second-order interval-valued variational problem.
Vorheriger Artikel An epidemic model with transport-related infection incorporating awareness and screening
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Metadaten
Titel
Optimality and duality for second-order interval-valued variational problems
verfasst von
Vivek Dhingra
N. Kailey
Publikationsdatum
09.11.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 5/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-021-01657-z

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