On the regularization of the sum of two maximal monotone operators (Q1586663)

The main aim of the paper is to study the following operational inclusion: \(0\in T(x)\), where \(T\) is a maximal monotone multivalued operator. If \(T= A+B\) and the Brézis-Crandall-Pazy (B-C-P) condition holds then the following result is proved: Theorem 3. If \(A\) and \(B\) are maximal monotone operators on a Hilbert space \(X\) such that \((A,B)\) satisfies the B-C-P condition and \(\lambda(\mu):= \lambda= o(\mu)\) then \(\lim_{\mu\to 0} x_{\lambda(\mu),\mu}= \text{proj}_{(A+ B)^{-1}(0)}(0)\).