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

Abstract 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.

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Publication Details

Journal
Set-Valued and Variational Analysis
Published
2024-10-16
DOI
https://doi.org/10.1007/s11228-024-00734-2
Citations
3
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
2.93
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article

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

Jinlu Li
3 citations
Set-Valued and Variational Analysis
Nonlinear Differential Equations Analysis
2.93
article

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

Jinlu Li
article en
3 citations

Abstract

Abstract 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.

Set-Valued and Variational AnalysisVol. 32(4)
Shawnee State University (US)
Openalex Percentile: Top 9%
Nonlinear Differential Equations Analysis
2.93
DOIOpen Access PDFOpenAlex
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Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces — Jinlu Li · Set-Valued and Variational Analysis (2024) | TGRS Research Map | TGRS