A New Version of Forward-Backward-Forward Splitting Algorithm For Monotone Inclusions
摘要
This paper considers a new version of the forward-backward-forward splitting algorithm to find a zero of the sum of two monotone operators in real Hilbert spaces. Our proposed method comprises a forward-backward-forward algorithm, an inertial term, correction terms, and a self-adaptive stepsize. Under certain standard conditions, we obtain the proposed method’s weak and linear convergence results. Numerical experiments show that our proposed algorithm outperforms other forward-backward-forward splitting algorithms in the literature. Some popular splitting algorithms have also been recovered from our algorithm.