26 citations · 63 across the 25 of their papers we have counts for
36 papers
A convexity criterion via the De Giorgi slope
Tahar Z. Boulmezaoud, Aris Daniilidis, Trí Minh Lê
Let be a Banach space and be bounded from below. We show that if for some , the function is convex, then is con…
Determination of (unbounded) convex functions via Crandall-Pazy directions
Aris Daniilidis, David Salas, Sebastián Tapia-García
It has been recently discovered that a convex function can be determined by its slopes and its infimum value, provided this latter is finite. The result was extended to nonconvex f…
ABB theorems: Results and limitations in infinite dimensions
Aris Daniilidis, Carlo de Bernardi, Enrico Miglierina
We construct a weakly compact convex subset of with nonempty interior that has an isolated maximal element, with respect to the lattice order . Moreover, the ma…
All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function
Aris Daniilidis, Robert Deville, Sebastian Tapia-Garcia
We construct a differentiable locally Lipschitz function in with the property that for every convex body there exists $\bar x \in \math…
Solving Nonlinear Absolute Value Equations
Aris Daniilidis, Mounir Haddou, Tri Minh Le +2
In this work, we show that several problems naturally represented as Nonlinear Absolute Value Equations (NAVE) can be reformulated as Nonlinear Complementarity Problems (NCP) and e…
A slope generalization of Attouch theorem
Aris Daniilidis, David Salas, Sebastián Tapia-García
A classical result of variational analysis, known as Attouch theorem, establishes the equivalence between epigraphical convergence of a sequence of proper convex lower semicontinuo…