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Global parametric sufficient optimality conditions for semi-infinite discrete minmax fractional programming problems involving generalized \((\eta ,\rho )\)-invex functions - MaRDI portal

Global parametric sufficient optimality conditions for semi-infinite discrete minmax fractional programming problems involving generalized \((\eta ,\rho )\)-invex functions (Q1036869)

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scientific article; zbMATH DE number 5632873
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Global parametric sufficient optimality conditions for semi-infinite discrete minmax fractional programming problems involving generalized \((\eta ,\rho )\)-invex functions
scientific article; zbMATH DE number 5632873

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    Global parametric sufficient optimality conditions for semi-infinite discrete minmax fractional programming problems involving generalized \((\eta ,\rho )\)-invex functions (English)
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    13 November 2009
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    For fractional semi-infinite optimization problems a necessary optimality condition is given first using a generalized Abadie constraint qualification. Next, the Karush-Kuhn-Tucker conditions are shown to be sufficient optimality conditions under the assumption that the problem functions are invex. Here different definitions of invex functions are used.
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    invex functions
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    sufficient optimality conditions
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