Publication Date:
2014-04-04
Description:
In this paper, we introduce the notion of a quasi-contraction restricted with a linear bounded mapping in cone metric spaces, and prove a unique fixed point theorem for this quasi-contraction without the normality of the cone. It is worth mentioning that the main result in this paper could not be derived from Ćirić’s result by the scalarization method, and hence indeed improves many recent results in cone metric spaces.MSC: 06A07, 47H10.
Print ISSN:
1687-1820
Electronic ISSN:
1687-1812
Topics:
Mathematics
Permalink