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Lower and upper bounds for the point-wise directional derivative of the Fenchel duality map. (English) Zbl 1361.46059
The authors consider some elementary aproperties of the directional derivative of the Fenchel transform. More general results are available, see, e.g., [J.-B. Hiriart-Urruty and C. Lemaréchal, Fundamentals of convex analysis. Berlin: Springer (2001; Zbl 0998.49001)].
MSC:
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
52A41 Convex functions and convex programs in convex geometry
49J52 Nonsmooth analysis
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