On an Iterative Method for Finding a Zero to the Sum of Two Maximal Monotone Operators

الملخص EN

In this paper we consider a problem that consists of finding a zero to the sum of two monotone operators.

One method for solving such a problem is the forward-backward splitting method.

We present some new conditions that guarantee the weak convergence of the forward-backward method.

Applications of these results, including variational inequalities and gradient projection algorithms, are also considered.