A characterisation of minimal subdifferential mappings of locally Lipschitz functions

DOI10.1007/BF01038595zbMath0838.49014OpenAlexW1986319067MaRDI QIDQ1902177

Moors, Warren B.

Publication date: 9 May 1996

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01038595

zbMATH Keywords

locally Lipschitz functionClarke subdifferential mappingminimal subdifferential mappingweak* cusco

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (12)

Minimal usco and minimal cusco maps and compactness ⋮ On characterization of convexity for regularly locally Lipschitz functions ⋮ Asplund sets, differentiability and subdifferentiability of functions in Banach spaces ⋮ Essentially smooth Lipschitz functions ⋮ Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces ⋮ Fréchet subspaces of minimal usco and minimal cusco maps ⋮ When is the space of minimal usco/cusco maps a topological vector space ⋮ Topological properties of the space of convex minimal usco maps ⋮ Unnamed Item ⋮ Relations between minimal usco and minimal cusco maps ⋮ Characterization of strict convexity for locally Lipschitz functions ⋮ Integration of multivalued operators and cyclic submonotonicity

Cites Work

• Convex functions, monotone operators and differentiability
• Gaussian null sets and differentiability of Lipschitz map on Banach spaces
• A continuity property related to Kuratowski's index of non-compactness, its relevance to the drop property, and its implications for differentiability theory
• Minimal Convex Uscos and Monotone Operators on Small Sets
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