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

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

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, …