On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces
We define the notion of α*-ψ-contractive mappings for cone metric space and obtain fixed points of multivalued mappings in connection with Hausdorff distance function for closed bounded subsets of cone metric spaces. We obtain some recent results of the literature as corollaries of our main theorem....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/313782 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We define the notion of
α*-ψ-contractive mappings for cone metric space and
obtain fixed points of multivalued mappings in connection with Hausdorff
distance function for closed bounded subsets of cone metric spaces. We
obtain some recent results of the literature as corollaries of our main
theorem. Moreover, a nontrivial example of α*-ψ-contractive mapping satisfying all conditions of our main result has been
constructed. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |