A Note on Asymptotic Contractions

We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space X to converge to its unique fixed point, uniformly on each bounded subset of X.

Bibliographic Details
Main Authors: Marina Arav, Francisco Eduardo Castillo Santos, Simeon Reich, Alexander J. Zaslavski
Format: Article
Language:English
Published: SpringerOpen 2006-12-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/39465