Mordukhovich derivatives of the normalized duality mapping in Banach spaces

Fuente: arXiv
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Main Author: Li, Jinlu
Format: Preprint
Published: 2024
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_version_ 1866913453803831296
author Li, Jinlu
author_facet Li, Jinlu
contents In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0,1].
format Preprint
id arxiv_https___arxiv_org_abs_2407_21261
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mordukhovich derivatives of the normalized duality mapping in Banach spaces
Li, Jinlu
Functional Analysis
47H05, 46C05, 49M27, 65K10, 90C25
In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0,1].
title Mordukhovich derivatives of the normalized duality mapping in Banach spaces
topic Functional Analysis
47H05, 46C05, 49M27, 65K10, 90C25
url https://arxiv.org/abs/2407.21261