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math.OC2022
Variational properties of the abstract subdifferential operator
Reinier Diàz Millàn, Nadezda Sukhorukova, Julien Ugon
Abstract convexity generalises classical convexity by considering the suprema of functions taken from an arbitrarily defined set of functions. These are called the abstract linear…
math.OC2022★ 2 cited
Application and issues in abstract convexity
Reinier Díaz Millán, Nadezda Sukhorukova, Julien Ugon
The theory of abstract convexity, also known as convexity without linearity, is an extension of the classical convex analysis. There are a number of remarkable results, mostly conc…