Generalized Convexity, Generalized Monotonicity: Recent Results Rutilius Taurus Aemilianus 4Abgrenzung9

4Abgrenzung9

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Generalized Convexity, Generalized Monotonicity: Recent Results Rutilius Taurus Aemilianus 4Abgrenzung9A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation theorems lead to optimality conditions and duality for convex problems. A function is quasiconvex if its lower level sets are convex. Here again, the geo metrical structure of the level sets implies some continuity and differentiability properties for quasiconvex functions. Optimality