A note on singular points of convex functions in Banach spaces
Luděk Zajíček (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “One counterexample concerning the Fréchet differentiability of convex functions on closed sets”
A note on singular points of convex functions in Banach spaces
Lipschitz sums of convex functions
Marianna Csörnyei, Assaf Naor (2003)
Studia Mathematica
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We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.
Supergeneric results and Gateâux differentiability of convex and Lipschitz functions on small sets
Luděk Zajíček (1997)
Acta Universitatis Carolinae. Mathematica et Physica
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Differentiability of convex functions on a Banach space with smooth bump function.
Li, Yongxin, Shi, Shuzhong (1994)
Journal of Convex Analysis
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On the differentiation of convex functions in finite and infinite dimensional spaces
Luděk Zajíček (1979)
Czechoslovak Mathematical Journal
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