Differentiability of cone-monotone functions on separable Banach space
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Publication:4452196
DOI10.1090/S0002-9939-03-07149-1zbMath1042.49016MaRDI QIDQ4452196
Jonathan M. Borwein, James V. Burke, Adrian S. Lewis
Publication date: 12 February 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
monotonicitylower semicontinuityconvex coneGâteaux differentiabilityHadamard derivativenull setsdirectionally Lipschitz functions
Fréchet and Gateaux differentiability in optimization (49J50) Derivatives of functions in infinite-dimensional spaces (46G05)
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Cites Work
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- Cone-Monotone Functions: Differentiability and Continuity
- On the nondifferentiability of cone-monotone functions in Banach spaces
- Continuity and differentiability properties of monotone real functions of several real variables
- Variational Analysis
- Null Sets and Essentially Smooth Lipschitz Functions
- Approximating Subdifferentials by Random Sampling of Gradients
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