An accelerated forward-backward-half forward splitting algorithm for monotone inclusion with applications to image restoration

Zong, Chunxiang; Tang, Yuchao

doi:10.1080/02331934.2022.2107926

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2024

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Cited by 3 publications

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“…In order to assess the quality of the deblurred images, we employ the signal-to-noise ratio (SNR) [40], which is defined by…”

Section: Numerical Experimentsmentioning

confidence: 99%

A Relaxed Inertial Method for Solving Monotone Inclusion Problems with Applications

Zong,

Tang,

Zhang

2024

Symmetry

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We study a relaxed inertial forward–backward–half-forward splitting approach with variable step size to solve a monotone inclusion problem involving a maximal monotone operator, a cocoercive operator, and a monotone Lipschitz operator. The convergence of the sequence of iterations generated by the discretisations of a continuous-time dynamical system is established under suitable conditions. Given the challenges associated with computing the resolvent of the composite operator, the proposed method is employed to tackle the composite monotone inclusion problem. Additionally, a convergence analysis is conducted under certain conditions. To demonstrate the effectiveness of the algorithm, numerical experiments are performed on the image deblurring problem.

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“…In order to assess the quality of the deblurred images, we employ the signal-to-noise ratio (SNR) [40], which is defined by…”

Section: Numerical Experimentsmentioning

confidence: 99%