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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.OC2026
Inexact Proximal Point and Tseng Algorithms with Nonsummable Errors to Solve Monotone Inclusions
Ba Khiet Le, Boris S. Mordukhovich, Michel A. Thera
In this paper, we establish, for the first time in the literature, the convergence of the practical versions of the Inexact Proximal Point Algorithm (IPPA) and the Inexact Tseng Al…