REGULARIZATION METHODS FOR ILL-POSED PROBLEMS WITH MONOTONE OPERATORS IN BANACH SPACES

Let E be a Banach space. For each x ∗ in the dual space E∗, we consider convergence of regularized solutions of the ill-posed problem x ∗ ∈ Ax, where A is monotone set-valued mapping in E. The regularized problem is following: Find x ∈ D(A) such that x ∗ ∈ Ax+ rJ(x