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Andreas Themelis

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Preprint Sep 2026

An Adaptive Linesearch-free Method for Monotone Variational Inequalities under Local Lipschitz Continuity

The forward-reflected-backward (FRB) splitting solves inclusion problems involving the sum of a maximally monotone operator and a monotone Lipschitz continuous operator. Each iteration performs one resolvent step and one evaluation of the Lipschitz operator, plus a reflection term with coefficient one that reuses the p...

Hong-Jia Ou, Andreas Themelis, Puya Latafat · 0 citations

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