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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Displaying similar documents to “Paraconvex analysis”
Supergeneric results and Gateâux differentiability of convex and Lipschitz functions on small sets
On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions
S. Rolewicz (1999)
Studia Mathematica
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Let (X,d) be a metric space. Let Φ be a family of real-valued functions defined on X. Sufficient conditions are given for an α(·)-monotone multifunction to be single-valued and continuous on a weakly angle-small set. As an application it is shown that a γ-paraconvex function defined on an open convex subset of a Banach space having separable dual is Fréchet differentiable on a residual set.
On differentiation of metric projections in finite dimensional Banach spaces
Luděk Zajíček (1983)
Czechoslovak Mathematical Journal
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One counterexample concerning the Fréchet differentiability of convex functions on closed sets
Eva Matoušková (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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