| Article ID: | iaor20123936 |
| Volume: | 153 |
| Issue: | 3 |
| Start Page Number: | 769 |
| End Page Number: | 778 |
| Publication Date: | Jun 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Khatibzadeh Hadi |
| Keywords: | proximal point algorithm, Lagrangian methods |
In this paper, we obtain some results on the boundedness and asymptotic behavior of the sequence generated by the proximal point algorithm without summability assumption on the error sequence. We also study the rate of convergence to minimum value of a proper, convex, and lower semicontinuous function. Finally, we consider the proximal point algorithm for solving equilibrium problems.