an example of data dependence result for the class of almost contraction mappings

In the present paper, we show that s ∗ iteration method can be used to approximate fixed point of almost contraction mappings. furthermore, we prove that this iteration method is equivalent to cr iteration method and it produces a slow convergence rate compared to the cr iteration method for the class of almost contraction mappings. we also present table and graphic to support this result. finally, we obtain a data dependence result for almost contraction mappings by using s ∗ iteration method and in order to show validity of this result we give an example.