Bornological coderivative and subdifferential calculus in smooth banach spaces
Document Type
Article
Publication Date
2019
Department/School
Mathematics
Publication Title
Set-Valued and Variational Analysis
Abstract
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.
Link to Published Version
Recommended Citation
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. https://doi.org/10.1007/s11228-018-0503-6