Opuscula Math. 30, no. 3 (2010), 331-340
Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces
Abstract. In this paper, we give some necessary and sufficient conditions for an implicit iteration process with errors for a finite family of asymptotically quasi-nonexpansive mappings converging to a common fixed of the mappings in convex metric spaces. Our results extend and improve some recent results of Sun, Wittmann, Xu and Ori, and Zhou and Chang.
Keywords: implicit iteration process, finite family of asymptotically quasi-nonexpansive mappings, common fixed point, convex metric space.
Mathematics Subject Classification: 47H05, 47H09, 47H10.
- Received: 2010-01-04.
- Accepted: 2010-02-21.