2 papers
math.OC2026
On Opial's Lemma
Aleksandr Arakcheev, Heinz H. Bauschke
Opial's Lemma is a fundamental result in the convergence analysis of sequences generated by optimization algorithms in real Hilbert spaces. We introduce the concept of Opial sequen…
math.OC2025
Fejér and Fejér* Monotonicity: New Results and Limiting Examples
Aleksandr Arakcheev, Heinz H. Bauschke
Many algorithms in convex optimization and variational analysis can be analyzed using Fejér monotone sequences. In 2024, Behling, Bello-Cruz, Iusem, Alves Ribeiro, and Santos intr…