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20182026
most citedConvergence Results of Forward-Backward Algorithms for Sum of Monotone Operators in Banach Spaces

46 citations · 99 across the 10 of their papers we have counts for

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Showing 2026Show all

5 papers · 1 filter

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…

math.NA2026

Anderson acceleration of the proximal point method: the exact adaptive minimax, a spectral phase transition, and optimal safeguarding

Zheng Jia, Yekini Shehu, Yonghong Yao

\noindent We study residual-polynomial acceleration of the proximal point method (PPM) for maximal monotone inclusions, with Anderson acceleration (AA) as the prototypical adaptive…