Cone-Monotone Functions: Differentiability and Continuity

DOI10.4153/CJM-2005-037-5zbMath1095.49015OpenAlexW2111651852MaRDI QIDQ3370686

Jonathan M. Borwein, Shawn Xianfu Wang

Publication date: 8 February 2006

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2005-037-5

zbMATH Keywords

Aronszajn null setGâteaux differentiabilityquasi-convex functionsporous setscone-monotone functions

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (6)

Cone monotone mappings: continuity and differentiability ⋮ Fréchet differentiability of Lipschitz functions via a variational principle ⋮ Differentiability of cone-monotone functions on separable Banach space ⋮ On functions determined by dense sets ⋮ Unnamed Item ⋮ Differentiability of quasiconvex functions on separable Banach spaces

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