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Mordukhovich derivatives of the normalized duality mapping in Banach spaces

Functional Analysis 2024-08-01 v1

Abstract

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].

Keywords

Cite

@article{arxiv.2407.21261,
  title  = {Mordukhovich derivatives of the normalized duality mapping in Banach spaces},
  author = {Jinlu Li},
  journal= {arXiv preprint arXiv:2407.21261},
  year   = {2024}
}

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39 pages