Abstract
The purpose of this paper is to present the concept of Mann type doubly sequence iteration process with errors to approximate fixed points. One of our main results is to prove that the Mann type doubly sequence iteration process with errors converges strongly to a fixed point of a continuous pseudo-contractive mapping which maps a bounded closed convex nonempty subset of a real Hilbert space into itself. Also, we give a common fixed point theorem for two pairs of weakly compatible mappings satisfying the Mann type doubly sequence iteration process with errors in Hilbert spaces. An application is also given to support our idea.