3 papers
math.OC2026
Dry-Friction Inertial Dynamics with Implicit Hessian-Driven Damping: Finite-Time Stabilization, Shadowing, and Proximal Discretization
Samir Adly
In a real Hilbert space , we study the following inertial differential inclusion where…
math.OC2026
Stationarity Floors and Vanishing Perturbations in Sharpness-Aware Minimization
Samir Adly, Ba Khiet Le
We study a deterministic family of sharpness-aware minimization methods for smooth nonconvex functions. The perturbation is $$ y_k=x_k+ρ\, \frac{\nabla f(x_k)}{\norm{\nabla f(x_k)}…
math.OC2025
New General Fixed-Point Approach to Compute the Resolvent of Composite Operators
Samir Adly, Ba Khiet Le
In this paper, we propose a new general and stable fixed-point approach to compute the resolvents of the composition of a set-valued maximal monotone operator with a linear bounded…