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Generalizations of second-order pseudo-convexity functions for vector optimization problems under second-order symmetric duality

Article scientifique 2023 Anglais

Résumé

Abstract In this work, we present new classes of second-order pseudo-convex functions and strong second-order pseudo-convex functions that generalize the second-order pseudo-convex functions. A pair of Mond-Weir type second-order symmetric duality multiple objective nonlinear programming problems formulate arbitrarily over these generalized second-order pseudo-convex functions. Furthermore, the weak, strong, and converse duality theorems are established and proven under these generalized second-order pseudo-convex functions. Finally, we present two nontrivial numerical examples to verify the results of the weak duality theorem and the strong duality theorem. MS Classifications: 90-XX 90CXX 90C30 90C46 65K05 49M37 49N15

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Kassem, M. (2023). Generalizations of second-order pseudo-convexity functions for vector optimization problems under second-order symmetric duality. https://doi.org/10.21203/rs.3.rs-3592943/v1

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Auteur(s)

Mohamed Abd El-Hady Kassem

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