Differentiability of convex functions on sublinear topological spaces and variational principles in locally convex spaces (Q816628)

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scientific article; zbMATH DE number 5008967
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Differentiability of convex functions on sublinear topological spaces and variational principles in locally convex spaces
scientific article; zbMATH DE number 5008967

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    Differentiability of convex functions on sublinear topological spaces and variational principles in locally convex spaces (English)
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    22 February 2006
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    From the authors' abstract: This paper presents a type of variational principles for real-valued \(w^*\)-lower semicontinuous functions on certain subsets in duals of locally convex spaces, and resolves a problem concerning differentiability of convex functions on general Banach spaces.
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    convex function
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    differentiability
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    variational principle
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    exposed point
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    locally convex space
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