Azhmyakov, Vadim; Schmidt, Werner H. - In: Mathematical Methods of Operations Research 57 (2003) 3, pp. 393-407
In this work we study a proximal-like method for the problem of convex minimization in Hilbert spaces. Using the classical proximal mapping, we construct a new stable iterative procedure. The strong convergence of obtained sequences to the normal solution of the optimization problem is proved....