• Corpus ID: 249395356

Variational properties of the abstract subdifferential operator

  title={Variational properties of the abstract subdifferential operator},
  author={R. D{\'i}az Mill{\'a}n and Nadezda Sukhorukova and 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 (abstract affine) functions. The purpose of this paper is to study the abstract subdifferential. We obtain a number of results on the calculus of this subdifferential: summation and composition rules, and prove that under some reasonable conditions the subdifferential is a maximal abstract monotone operator. Another… 

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