A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators

In this paper, we propose a novel splitting method for finding a zero point of the sum of two monotone operators where one of them is Lipschizian. The weak convergence the method is proved in real Hilbert spaces. Applying the proposed method to composite monotone inclusions involving parallel sums yields a new primal-dual splitting which is different from the existing methods. Connections to existing works are clearly stated. We also provide an application of the proposed method to the image denoising by the total variation.


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Set-valued and Variational analysis
Year:
Mar 19 2020
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Note: The status of this file is: Anyone


 Record created 2020-03-25, last modified 2020-04-20

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