Strong convergence of a multi-step implicit iterative scheme with errors for common fixed points of uniformly L–Lipschitzian total asymptotically strict pseudocontractive mappings

Abstract

In this paper, we introduce a three step implicit iteration process with errors and prove strong convergence theorem of the new iterative scheme for finite family of uniformly L–Lipschitzian total asymptotically strict pseudocontractive mappings in Banach spaces. The results in this paper extend, generalize and unify well known results in the existing literature.