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Seven kinds of monotone maps. (English) Zbl 0679.90055

Known as well as new types of monotone and generalized monotone maps are considered. For gradient maps, these generalized monotonicity properties can be related to generalized convexity properties of the underlying function. In this way, pure first-order characterizations of various types of generalized convex functions are obtained.
Reviewer: S.Karamardian

MSC:

90C30 Nonlinear programming
26B25 Convexity of real functions of several variables, generalizations
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