Copyright © 2010 N. Hussain et al. 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.
The existence of approximate fixed points and approximate endpoints
of the multivalued almost -contractions is established. We also develop quantitative
estimates of the sets of approximate fixed points and approximate endpoints for multivalued
almost -contractions. The proved results unify and improve recent results of
Amini-Harandi (2010), M. Berinde and V. Berinde (2007), Ćirić (2009),
M. Păcurar and R. V. Păcurar (2007) and many others.