Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces
Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces
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DOI：
10.1007/s11228-018-0503-6
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发表时间：
2019-01
影响因子：
1.6
通讯作者：
N. M. Nam;Hung M. Phan;B. Wang
中科院分区：
文献类型：
--
作者：
N. M. Nam;Hung M. Phan;B. Wang
本文研究了光滑Banach空间中具有非光滑边界集、非光滑函数集和集值映射集的代数广义微分性质。本文建立了代数正规锥的模糊交规则，发展了代数广义微分构造的模糊微积分和这些构造的极限对应物的精确微积分。
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.