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Generalized monotonicity and generalized convexity. (English) Zbl 0824.90124
Summary: Generalized monotonicity of bifunctions or multifunctions is a rather new concept in optimization and nonsmooth analysis. It is shown in the present paper how quasiconvexity, pseudoconvexity, and strict pseudoconvexity of lower semicontinuous functions can be characterized via the quasimonotonicity, pseudomonotonicity, and strict pseudomonotonicity of different types of generalized derivatives, including the Dini, Dini-Hadamard, Clarke, and Rockafellar derivatives as well.

##### MSC:
 90C30 Nonlinear programming 26B25 Convexity of real functions of several variables, generalizations 49J52 Nonsmooth analysis
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##### References:
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