Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
GURUCHARAN SINGH SALUJA · DOAJ (DOAJ: Directory of Open Access Journals) · 2013
The aim of this paper to study a Noor-type iteration process with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in the framework of convex metric spaces. We give a necessary and sufficient condition for strong convergence of said iteration scheme involving a finite family of above said mappings and also establish a strong convergence theorem by using condition (A). The results presented in this paper extend, improve and unify some existing results in the previous work.