Abstract
It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.
| Original language | English |
|---|---|
| Article number | 405315 |
| Journal | International Journal of Mathematics and Mathematical Sciences |
| Volume | 2012 |
| DOIs | |
| Publication status | Published - 2012 |
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)