just-continuity
projective-splitting/just-continuity: Code that reproduces the results in the paper: Projective splitting with forward steps only requires continuity. A recent innovation in projective splitting algorithms for monotone operator inclusions has been the development of a procedure using two forward steps instead of the customary resolvent step for operators that are Lipschitz continuous. This paper shows that the Lipschitz assumption is unnecessary when the forward steps are performed in finite-dimensional spaces: a backtracking linesearch yields a convergent algorithm for operators that are merely continuous with full domain.
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References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
Sorted by year (- Johnstone, Patrick R.; Eckstein, Jonathan: Single-forward-step projective splitting: exploiting cocoercivity (2021)
- Johnstone, Patrick R.; Eckstein, Jonathan: Projective splitting with forward steps only requires continuity (2020)
- Ryu, Ernest K.; Vũ, Bằng Công: Finding the forward-Douglas-Rachford-forward method (2020)