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Hanson-Antczak-type generalized invex functions in semiinfinite minmax fractional programming. III: Second-order parametric duality models - MaRDI portal

Hanson-Antczak-type generalized invex functions in semiinfinite minmax fractional programming. III: Second-order parametric duality models (Q2870928)

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scientific article; zbMATH DE number 6248684
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English
Hanson-Antczak-type generalized invex functions in semiinfinite minmax fractional programming. III: Second-order parametric duality models
scientific article; zbMATH DE number 6248684

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    21 January 2014
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    semiinfinite discrete minmax fractional programming
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    Hanson-Antczak-type generalized second-order invex functions
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    parametric duality
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    Hanson-Antczak-type generalized invex functions in semiinfinite minmax fractional programming. III: Second-order parametric duality models (English)
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    The author considers the class of semi-infinite discrete minimax fractional programming problems. After introducing second-order versions of so-called generalized invex functions he presents second-order parametric duality results for the considered class of semi-infinite problems. Here, several Hanson-Antczak-type generalized second-order invexity assumptions are made.NEWLINENEWLINE For Part I see [Adv. Nonlinear Var. Inequal. 16, No. 1, 91--114 (2013; Zbl 1301.90086)] and for Part II see [Commun. Appl. Nonlinear Anal. 20, No. 1, 55--85 (2013;Zbl 1301.90087)].
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