Generalized Convexity and Related Topics pp 167-176
Mathematical Programming with (Φ, ρ)-invexity
We introduce new invexity-type properties for differentiable functions, generalizing (F, ρ)-convexity. Optimality conditions for nonlinear programming problems are established under such assumptions, extending previously known results. Wolfe and Mond-Weir duals are also considered, and we obtain direct and converse duality theorems.
Key wordsNonlinear programming generalized invexity duality
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