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math.OC2026
Adaptivity, Anchoring, and the Exact Oracle Complexity of Stochastic Fixed-Point Iterations
Yekini Shehu
We study stochastic fixed-point iterations for nonexpansive and contractive operators on Hilbert spaces, with a single-point unbiased oracle…
math.OC2026
Primal Methods for Constrained Variational Inequalities: Optimal Rates, Feasibility Trade-offs, and Lower Bounds
Yonghong Yao, Lateef O. Jolaoso, Yekini Shehu +1
Since Zhang et al. \cite{Zhang2025} introduced the first purely primal methods for monotone variational inequalities subject to convex functional constraints, the field has lacked…
math.OC2026
The sharp step-size constant for one-call reflection splittings on monotone inclusions
Yekini Shehu
The forward-reflected-backward splitting of Malitsky and Tam converges weakly for step sizes , where is monotone and -Lipschitz, and the question whet…
math.OC2026
A Parameter-Free Adaptive Reflected Gradient Method for Monotone Variational Inequalities
Yekini Shehu
We analyze a one-evaluation-per-iteration method for with monotone -Lipschitz : , , $θ…