We introduce new invexity type properties for differentiable functions, generalizing (F, $\varrho$)-convexity. Optimality conditions for nonlienar programming problems are established under such assumption, extending previously known results. Wolfe and Mond-Weir duals are also considered and we obtain direct and converse duality theorems.
Mathematical programming with (Φ, ρ)-invexity
CARISTI, Giuseppe;
2007-01-01
Abstract
We introduce new invexity type properties for differentiable functions, generalizing (F, $\varrho$)-convexity. Optimality conditions for nonlienar programming problems are established under such assumption, extending previously known results. Wolfe and Mond-Weir duals are also considered and we obtain direct and converse duality theorems.File in questo prodotto:
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