Chain rules for linear openness in metric spaces and applications

DOI10.1007/s10107-012-0598-8zbMath1298.54012arXiv1106.1815OpenAlexW2087762793MaRDI QIDQ2436646

Marius Durea, Radu Strugariu

Publication date: 25 February 2014

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1815

zbMATH Keywords

parametric systemsmetric regularitylinear opennessimplicit multifunctionsAubin propertyLyusternik-Graves theoremcomposition of set-valued mappingslocal composition-stability

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Special maps on metric spaces (54E40) Topology of special sets defined by functions (54C50) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Variational and other types of inclusions (47J22)

Related Items (7)

On directional subregularity of mappings ⋮ Metric subregularity of composition set-valued mappings with applications to fixed point theory ⋮ On the stability of the directional regularity ⋮ Nonlinear metric regularity on fixed sets ⋮ On subregularity properties of set-valued mappings ⋮ Unnamed Item ⋮ Linear openness of the composition of set-valued maps and applications to variational systems

Cites Work

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• Conical inverse mapping theorems
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• Variational Analysis
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• Chain Rules for Linear Openness in General Banach Spaces
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