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Second order duality for non-differentiable minimax programming problems involving generalised \(\alpha\)-type-I functions - MaRDI portal

Second order duality for non-differentiable minimax programming problems involving generalised \(\alpha\)-type-I functions (Q1635409)

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scientific article; zbMATH DE number 6881354
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English
Second order duality for non-differentiable minimax programming problems involving generalised \(\alpha\)-type-I functions
scientific article; zbMATH DE number 6881354

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    Second order duality for non-differentiable minimax programming problems involving generalised \(\alpha\)-type-I functions (English)
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    6 June 2018
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    Summary: In this paper, we focus our study on a non-differentiable minimax programming problem and its two types of second order dual models. We establish weak, strong and strict converse duality theorems under the assumptions of generalised second-order \(\alpha\)-type I functions.
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    non-differentiable minimax programming
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    second order duality
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    \(\alpha\)-invexity
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    type I functions
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    Schwarz inequality
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