A. Daniilidis

collaborators

3 papers

math.FA2026

A convexity criterion via the De Giorgi slope

Tahar Z. Boulmezaoud, Aris Daniilidis, TrÃ Minh LÃª

Let $X$ be a Banach space and $f \in C^{1} (X)$ be bounded from below. We show that if for some $m \geq 1$ , the function $x \mapsto ∥\nabla f (x) ∥^{m}$ is convex, then $f$ is con…

math.OC2026

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…

math.FA2025

Determination of (unbounded) convex functions via Crandall-Pazy directions

Aris Daniilidis, David Salas, SebastiÃ¡n Tapia-GarcÃa

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…