| Article ID: | iaor20041781 |
| Country: | Germany |
| Volume: | 57 |
| Issue: | 3 |
| Start Page Number: | 393 |
| End Page Number: | 407 |
| Publication Date: | Jan 2003 |
| Journal: | Mathematical Methods of Operations Research (Heidelberg) |
| Authors: | Azhmyakov V., Schmidt W.H. |
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. Some results of this paper are extended for uniformly convex Banach spaces.