Approximate endpoints for set-valued contractions in metric spaces

Abstract

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