Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces
Set-Valued and Variational Analysis
In this paper, we study bornological generalized differential properties of sets with nonsmooth boundaries, nonsmooth functions, and set-valued mappings in smooth Banach spaces. We establish a fuzzy intersection rule for bornological normal cones and develop fuzzy calculus for bornological generalized differential constructions as well as exact calculus for the limiting counterparts of these constructions.
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Nam, N. M., Phan, H. M., & Wang, B. (2019). Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces. Set-Valued and Variational Analysis, 27(4), 971-993.