On Constrained Set-Valued Semi-Infinite Programming Problems with ρ-Cone Arcwise Connectedness

This paper is devoted to provide sufficient Karush Kuhn Tucker (in short, KKT) conditions of optimality of second-order for a set-valued fractional minimax problem. In addition, we define duals of the types Mond-Weir and Wolfe of second-order for the problem. Further we obtain the theorems of duality under contingent epi-derivative together with generalized cone convexity suppositions of second-order.

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Set-valued fractional programming problems with $ \sigma $-arcwisely connectivity

Das¹,

Treanţă

Khan

2023

MATH

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<abstract><p>In this paper, we determine the sufficient Karush-Kuhn-Tucker (KKT) conditions of optimality of a set-valued fractional programming problem (in short, SVFP) $\rm (FP)$ under the suppositions of contingent epidifferentiation and $ \sigma $-arcwisely connectivity. We additionally explore the results of duality of parametric $\rm (PD)$, Mond-Weir $\rm (MWD)$, Wolfe $\rm (WD)$, and mixed $\rm (MD)$ kinds for the problem $\rm (FP)$.</p></abstract>

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On Constrained Set-Valued Semi-Infinite Programming Problems with ρ-Cone Arcwise Connectedness

Cited by 3 publications

References 21 publications

Cone arcwise connectivity in optimization problems with difference of set-valued mappings

Cone arcwise connectivity in optimization problems with difference of set-valued mappings

Mond-Weir and Wolfe Duality of Set-Valued Fractional Minimax Problems in Terms of Contingent Epi-Derivative of Second-Order

Set-valued fractional programming problems with $ \sigma $-arcwisely connectivity

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