A Modified Regularization Method for the Proximal Point Algorithm

Abstract EN

Under some weaker conditions, we prove the strong convergence of the sequence generated by a modified regularization method of finding a zero for a maximal monotone operator in a Hilbert space.

In addition, an example is also given in order to illustrate the effectiveness of our generalizations.

The results presented in this paper can be viewed as the improvement, supplement, and extension of the corresponding results.