Spingarn's method and progressive decoupling algorithm address inclusion problems involving the sum of an operator and the normal cone of a linear subspace.
This paper introduces progressive decoupling+ which incorporates separate relaxation parameters for the linkage subspace and its orthogonal complement.
The convergence of progressive decoupling+ is proven under conditions linking relaxation parameters to the nonmonotonicity of their respective subspaces.
The analysis shows that Spingarn's method and standard progressive decoupling also extend beyond the elicitable monotone setting.