Metric regularity, tangential distances and generalized differentiation in Banach spaces

DOI10.1016/j.na.2011.01.038zbMath1236.49036OpenAlexW2026656169MaRDI QIDQ654090

Bingwu Wang, Nguyen Mau Nam

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.038

zbMATH Keywords

normal conesvariational analysismetric regularitycoderivativesgeneralized differentiationcalculus rulesnormal compactnessset images

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60) Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

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Structure and stability of restrictively metrically regular mappings

Cites Work

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• On the weak-star extensibility
• Nonsmooth analysis
• Metric regularity of mappings and generalized normals to set images
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Calculus of sequential normal compactness in variational analysis.
• Sequential normal compactness versus topological normal compactness in variational analysis.
• Restrictive metric regularity and generalized differential calculus in Banach spaces
• Techniques of variational analysis
• Variational Analysis
• Metric regularity and subdifferential calculus
• Tangential approximations
• Necessary Suboptimality and Optimality Conditions via Variational Principles
• Set-valued analysis