An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions

<p/> <p>In this paper at first we introduce a new order on the subsets of cone metric spaces then, using this definition, we simplify the proof of fixed point theorems for contractive set-valued maps, omit the assumption of normality, and obtain some generalization of results.</p>

Bibliographic Details
Main Authors: Vaezpour SM, Asadi M, Soleimani H
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2009/723203