Abstract
There are various connections and interrelations between convex objects which make the latter a convenient tool for investigation of numerous problems. One of the most general form of such relations is granted by the Minkowski duality. It is sufficient to study the duality for some particular class of objects under consideration, for instance, for sublinear operators. Basing on information on their support sets, we can rather easily obtain a description for subdifferentials of arbitrary convex operators, we can find corresponding Young-Fenchel transforms, we can study related extremal problems, etc.
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© 1995 Springer Science+Business Media Dordrecht
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Kusraev, A.G., Kutateladze, S.S. (1995). Geometry of Subdifferentials. In: Subdifferentials: Theory and Applications. Mathematics and Its Applications, vol 323. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0265-0_2
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DOI: https://doi.org/10.1007/978-94-011-0265-0_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4117-1
Online ISBN: 978-94-011-0265-0
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