On the nondifferentiability of cone-monotone functions in Banach spaces

DOI10.1007/978-0-387-98096-6_1zbMath1211.49016OpenAlexW228622809MaRDI QIDQ3407608

Rafal Goebel, Jonathan M. Borwein

Publication date: 4 March 2010

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-98096-6_1

zbMATH Keywords

differentiabilityordered Banach spacesmonotone functionsgenerating cones

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (4)

Cone monotone mappings: continuity and differentiability ⋮ Differentiability of cone-monotone functions on separable Banach space ⋮ Unnamed Item ⋮ Differentiability of quasiconvex functions on separable Banach spaces

Cites Work

• Convex functions, monotone operators and differentiability.
• Convex sets in linear spaces
• Continuity and differentiability properties of monotone real functions of several real variables
• Minimal Convex Uscos and Monotone Operators on Small Sets
• Differentiability of cone-monotone functions on separable Banach space
• Approximating Subdifferentials by Random Sampling of Gradients
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