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math.OC2025
A Class of Accelerated Fixed-Point-Based Methods with Delayed Inexact Oracles and Its Applications
Nghia Nguyen-Trung, Quoc Tran-Dinh
In this paper, we develop a novel accelerated fixed-point-based framework using delayed inexact oracles to approximate a fixed point of a nonexpansive operator (or equivalently, a…
math.OC2025
New Accelerated Past-Extragradient Methods with Variance Reduction for Generalized Equations
Quoc Tran-Dinh, Nghia Nguyen-Trung
We develop a novel past-extragradient-type algorithmic framework, combining both Nesterov's \textit{acceleration} and \textit{variance-reduction} techniques, to solve a class of ge…
math.OC2025
Accelerated Extragradient-Type Methods -- Part 2: Generalization and Sublinear Convergence Rates under Co-Hypomonotonicity
Quoc Tran-Dinh, Nghia Nguyen-Trung
Following the first part of our project, this paper comprehensively studies two types of extragradient-based methods: anchored extragradient and Nesterov's accelerated extragradien…