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arXiv · 2403.11493

Forward-backward-forward dynamics for bilevel equilibrium problem

Kanchan Mittal·Pankaj Gautam·V. Vetrivel
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Abstract

We introduce a forward-backward-forward (FBF) algorithm for solving bilevel equilibrium problem associated with bifunctions on a real Hilbert space. This modifies the forward-backward algorithm by relaxing cocoercivity with monotone and Lipschitzness. Further, we present the FBF dynamical system and investigate the generated trajectory's existence, uniqueness and weak convergence. We illustrate the proposed method for equilibrium problem under saddle point constraint.

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Kanchan Mittal, Pankaj Gautam, V. Vetrivel. 2024-03-18. Forward-backward-forward dynamics for bilevel equilibrium problem. https://arxiv.org/abs/2403.11493

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