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Generalized Convexity, Generalized Monotonicity: Recent Results Rutilius Taurus Aemilianus That meeting resulted in a

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That meeting resulted in a NATO ASI publication

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Generalized Convexity, Generalized Monotonicity: Recent Results Rutilius Taurus Aemilianus That meeting resulted in aA 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

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