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arXiv · 2402.10827

Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces

Jinlu Li
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Abstract

In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some general Banach spaces. In the Banach space c, we find the properties of Mordukhovich derivatives of the set-valued metric projection operator onto the closed subspace c0. We show that the metric projection from C[0, 1] to polynormal with degree less than or equal to n is a single-valued mapping. We investigate its Mordukhovich derivatives and Gateaux directional derivatives.

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Jinlu Li. 2024-02-16. Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces. https://arxiv.org/abs/2402.10827

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