Sufficient conditions and duality theorems for nondifferentiable minimax fractional programming (Q541798)

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scientific article; zbMATH DE number 5905126
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Sufficient conditions and duality theorems for nondifferentiable minimax fractional programming
scientific article; zbMATH DE number 5905126

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    Sufficient conditions and duality theorems for nondifferentiable minimax fractional programming (English)
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    8 June 2011
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    Summary: We consider nondifferentiable minimax fractional programming problems involving \(B\)-\((p,r)\)-invex functions with respect to \(\eta\) and \(b\). Sufficient optimality conditions and duality results for a class of nondifferentiable minimax fractional programming problems are obtained under \(B\)-\((p,r)\)-invexity assumption on objective and constraint functions. Parametric duality, Mond-Weir duality, and Wolfe duality problems may be formulated, and duality results are derived under \(B\)-\((p,r)\)-invex functions.
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    invex functions
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    duality problems
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