new modified implicit iterative algorithm for finite families of two total asymptoticallypseudocontractive mappings

In this article, we propose a modified implicit iterative algorithm for approximation of common fixed points of finite families of two uniformly l-lipschitzian total asymptotically pseudocontractive mappings in banach spaces. our new iterative algorithm contains some well known iterative algorithm which has been used by several authors for approximating fixed points of different classes of mappings. we prove some convergence theorems of our new iterative method and validate our main result with an example. our result is an improvement and generalization of the results of many well-known authors in the existing literature.