Maximal monotone operators and the proximal point algorithm in the presence of computational errors (Q637560)

The concept of the maximal monotone operator is introduced. The problem of the inclusion induced by a maximal monotone operator under the presence of computational errors is considered. The author uses the proximal point method to solve the problem. The convergence of the method is established for nonsummable computational errors. It is shown that the method provides a good approximate solution if the sequence of computational errors is bounded from above by a constant.