Copyright © 2012 K. Samanmit and B. Panyanak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The relationships between nonexpansive, weakly nonexpansive, -nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and -semicontinuous mappings in -trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.