Convergence of a general iterative scheme for three infinite families of uniformly quasi-Lipschitzian mappings in convex metric spaces

Abstract

We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of three infinite families of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in this paper extend, improve and unify some main results in previous work.