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. © 2006 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Caristi, G., Ferrara, M., & Stefanescu, A. (2007). Mathematical programming with (Φ, ρ)-invexity. In Lecture Notes in Economics and Mathematical Systems (Vol. 583, pp. 167–176). https://doi.org/10.1007/978-3-540-37007-9_9
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