# Primal-dual extrapolation methods for monotone inclusions under local Lipschitz continuity with applications to variational inequality, conic constrained saddle point, and convex conic optimization problems

@article{Lu2022PrimaldualEM,
title={Primal-dual extrapolation methods for monotone inclusions under local Lipschitz continuity with applications to variational inequality, conic constrained saddle point, and convex conic optimization problems},
author={Zhaosong Lu and Sanyou Mei},
journal={ArXiv},
year={2022},
volume={abs/2206.00973}
}
• Published 2 June 2022
• Mathematics
• ArXiv
In this paper we consider a class of structured monotone inclusion (MI) problems that consist of ﬁnding a zero in the sum of two monotone operators, in which one is maximal monotone while another is locally Lipschitz continuous. In particular, we ﬁrst propose a primal-dual extrapolation (PDE) method for solving a structured strongly MI problem by modifying the classical forward-backward splitting method by using a point and operator extrapolation technique, in which the parameters are…

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