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Relaxed and inertial nonlinear Forward-Backward algorithm
Juan Jos\'e Maul\'en, Fernando Rold\'an, Cristian Vega
https://arxiv.org/abs/2507.18856 https://

Relaxed and inertial nonlinear Forward-Backward algorithm
The Nonlinear Forward-Backward (NFB) algorithm, also known as warped resolvent iterations, is a splitting method for finding zeros of sums of monotone operators. In particular cases, NFB reduces to well-known algorithms such as Forward-Backward, Forward-Backward-Forward, Chambolle--Pock, and Condat-Vu. Therefore, NFB can be used to solve monotone inclusions involving sums of maximally monotone, cocoercive, monotone and Lipschitz operators as well as linear compositions terms. In this article, w…