Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings

الملخص EN

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.