A unified family of frugal forward-backward splitting algorithms with deviation vectors is proven to converge weakly; Douglas-Rachford splitting with deviations is a special case.
Frugal splitting operators: r epresentation, minimal lifting, and convergence
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Frugal forward-backward splitting methods with deviations
A unified family of frugal forward-backward splitting algorithms with deviation vectors is proven to converge weakly; Douglas-Rachford splitting with deviations is a special case.