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.

• Publication year

  2019

• Venue

  Set-Valued and Variational Analysis

• Publication date

  2019-08-16

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1007/s11228-020-00542-4arXiv 1908.05912
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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