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.
|Journal||International Journal of Mathematics and Mathematical Sciences|
|Publication status||Published - Oct 29 2012|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)