Before revision:  These monotonicity methods build the basis for the improvement of the ] standard one-step linearization method. The one-step linearization method consists of solving a minimization problem with standard regularization techniques, which is commonly used in practice but builds only a heuristical approach since there is no proven theory of its convergence.
After revision:  These monotonicity methods build the basis for the improvement of the ] standard regularization techniques, which is commonly used in practice but builds only a heuristical approach since there is no proven theory of its convergence.