Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces

被引：2

作者：

Li, Jinlu ^{[1
]}

机构：

[1] Shawnee State Univ, Dept Math, Portsmouth, OH 45662 USA

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2024年 / 32卷 / 04期

关键词：

Metric projection; G & acirc; teaux directional differentiability; Fr & eacute; chet differentiability; Strict Fr & eacute; Mordukhovich derivative; Generalized differentiation; DIFFERENTIABILITY;

D O I：

10.1007/s11228-024-00734-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the properties of the Mordukhovich derivatives of the metric projection operator onto closed balls, closed and convex cylinders and positive cones in uniformly convex and uniformly smooth Banach spaces. We find the exact expressions for Mordukhovich derivatives of the metric projection operator in these spaces.

引用

页数：47

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