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

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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Publication Details

Journal
Control and Cybernetics
Published
2024-12-01
DOI
https://doi.org/10.2478/candc-2024-0021
Primary Topic
Engine and Fuel Emissions
Type
article
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article

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

Control and Cybernetics
Engine and Fuel Emissions
article

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

article en

Abstract

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.

Control and CyberneticsVol. 53(4)
University of Siedlce (PL), Government of West Bengal (IN)
Openalex Percentile: Top 68%
Engine and Fuel Emissions
DOIOpen Access PDFOpenAlex
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Set-valued fractional-type optimization problems with κ-cone arcwise connectedness of higher-order · Control and Cybernetics (2024) | TGRS Research Map | TGRS