Abstract
This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local approximation, we introduce the notion of CH-differentiability for multifunctions. Finally, we tackle the study of the relation among the Fréchet differentiability, Hukuhara differentiability, and CH-differentiability.
Citation
Pedro Hurtado. Alexander Leones. M. Martelo. J. B. Moreno. "An Extension of the Carathéodory Differentiability to Set-Valued Maps." Abstr. Appl. Anal. 2021 1 - 8, 2021. https://doi.org/10.1155/2021/5529796
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