Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces

The paper introduces some new mappings in convex metric spaces, and then it considers a Noor-type iterative scheme to approximate common fixed points of an infinite family of uniformly quasi-sup(fn)sup(fn)-Lipschitzian mappings and an infinite family of gngn-expansive mappings in convex metric spaces. Its results generalize, improve and unify some results in Chang et al. (2010) [13], Fukhar-ud-din and Khan (2007) [14], Liu et al. (2010) [17], Tian (2005) [7], Wang and Liu (2009) [19] and Wang et al. (2009) [20] under some appropriate conditions.