On metric regularity in metric spaces

DOI10.1017/S0004972700033785zbMath1043.54015OpenAlexW2134949456MaRDI QIDQ4709803

K. Pichard, Serge Gautier

Publication date: 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700033785

zbMATH Keywords

multifunctionmetric regularitytransitionmutational calculus

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Special maps on metric spaces (54E40) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (1)

Infinitesimal calculus in metric spaces

Cites Work

• Approximate subdifferential and metric regularity: The finite-dimensional case
• Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
• Mutational and morphological analysis. Tools for shape evolution and morphogenesis
• Variational pairs and applications to stability in nonsmooth analysis.
• Mutational equations in metrics spaces
• Some mapping theorems
• Open mappings theorems and linearization stability
• Metric regularity, openness and Lipschitzian behavior of multifunctions
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Metric regularity for strongly compactly Lipschitzian mappings
• Equations with delay in metric spaces: the mutational approach
• Approximations and Metric Regularity in Mathematical Programming in Banach Space
• On perturbation stability of metric regularity

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