Abstract
The purpose of this note is to develop a calculus of “multidifferentials” of setvalued maps between finite-dimensional real linear spaces. This will be done by generalizing the concept of the classical differential (CD), following the ideas of F. Clarke’s theory of generalized Jacobians (CGJ’s) and J. Warga’s theory of derivate containers (WDC’s), cf. Clarke [4] and Warga [17, 18, 19, 20].
This research was supported in part by NSF Grant DMS95-00798 and AFoSR Grant 0923.
The author is grateful to two anonymous referees for their very helpful remarks.
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Sussmann, H.J. (1998). Multidifferential Calculus: Chain Rule, Open Mapping and Transversal Intersection Theorems. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_20
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