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.

中文翻译：

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光滑Banach空间中的Bornological码导和次微积分。

在本文中，我们研究了在光滑Banach空间中具有不光滑边界，不光滑函数和集值映射的集合的出生学广义差分性质。我们为胎教法线锥建立了一个模糊相交规则，并为胎教学的广义微分构造开发了模糊演算，并为这些构造的极限对应项开发了精确演算。