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Linear Regularity for a Collection of Subsmooth Sets in Banach Spaces

✍ Scribed by Zheng, Xi Yin; Ng, Kung Fu


Book ID
118203457
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
199 KB
Volume
19
Category
Article
ISSN
1052-6234

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Uniform subsmoothness and linear regular
✍ Xiyin Zheng; Zhou Wei; Jen-Chih Yao πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 479 KB

Motivated by the subsmoothness of a closed set introduced by Aussel et al. (2005) [8], we introduce and study the uniform subsmoothness of a collection of infinitely many closed subsets in a Banach space. Under the uniform subsmoothness assumption, we provide an interesting subdifferential formula o