Mordukhovich derivatives of the normalized duality mapping in Banach spaces

2024/07/31 by Li, Jinlu
#46C05 #47H05 #49M27 #65K10 #90C25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2407.21261

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].

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