4.5 Article

A splitting algorithm for dual monotone inclusions involving cocoercive operators

Journal

ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 38, Issue 3, Pages 667-681

Publisher

SPRINGER
DOI: 10.1007/s10444-011-9254-8

Keywords

Cocoercivity; Forward-backward algorithm; Composite operator; Duality; Monotone inclusion; Monotone operator; Operator splitting; Primal-dual algorithm

Funding

  1. Agence Nationale de la Recherche [ANR-08-BLAN-0294-02]
  2. Vietnam National Foundation for Science and Technology Development

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We consider the problem of solving dual monotone inclusions involving sums of composite parallel-sum type operators. A feature of this work is to exploit explicitly the properties of the cocoercive operators appearing in the model. Several splitting algorithms recently proposed in the literature are recovered as special cases.

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