Open Access
2013 On Fixed Points of α - ψ -Contractive Multivalued Mappings in Cone Metric Spaces
Marwan Amin Kutbi, Jamshaid Ahmad, Akbar Azam
Abstr. Appl. Anal. 2013(SI09): 1-6 (2013). DOI: 10.1155/2013/313782

Abstract

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.

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Marwan Amin Kutbi. Jamshaid Ahmad. Akbar Azam. "On Fixed Points of α - ψ -Contractive Multivalued Mappings in Cone Metric Spaces." Abstr. Appl. Anal. 2013 (SI09) 1 - 6, 2013. https://doi.org/10.1155/2013/313782

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1294.54029
MathSciNet: MR3126764
Digital Object Identifier: 10.1155/2013/313782

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI09 • 2013
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