Set-valued fractional-type optimization problems with κ-cone arcwise connectedness of higher-order

Koushik Das

doi:10.2478/candc-2024-0021

$Set-valued fractional-type optimization problems with κ-cone arcwise connectedness of higher-order Cover$

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Set-valued fractional-type optimization problems with κ-cone arcwise connectedness of higher-order

Control and Cybernetics

Volume 53 (2024): Issue 4 (December 2024)

By: Koushik Das

Open Access

|Aug 2025

Abstract

The aim of this study is to establish the sufficient higher-order KKT (Karush Kuhn Tucker) criteria of optimality for a set-valued fractional-type optimization problem (SFP) (FP). Under the presumptions of higher-order contingent epi-derivative and higher-order κ-arcwisely connectedness, these requirements are derived. We also look into the effects of these constraints on the higher-order duality of Mond-Weir (MWD), Wolfe (WD), and mixed (MD) kinds.

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Articles in this issue

DOI: https://doi.org/10.2478/candc-2024-0021 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 503 - 532

Submitted on: Apr 1, 2024

Accepted on: Feb 1, 2025

Published on: Aug 26, 2025

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

convex cone,

set-valued map,

contingent epiderivative,

arcwise connectedness,

duality

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2025 Koushik Das, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 53 (2024): Issue 4 (December 2024)