Mordukhovich derivatives of the normalized duality mapping in Banach spaces
Optimization Eruditorum, Volume 3, Issue 3, December 2026, Pages 209–242
Jinlu Li
Department of Mathematics, Shawnee State University, Portsmouth, Ohio 45662 USA
Abstract
In this paper, we investigate some properties of the Fréchet coderivative (Mordukhovich coderivatives) of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space \(l_p\); general Banach spaces \(L_1\) and \(C[0,1]\).
Cite this Article as
Jinlu Li, Mordukhovich derivatives of the normalized duality mapping in Banach spaces, Optimization Eruditorum, 3(3), 209–242, 2026