## Abstract and Applied Analysis

### On Fixed Points of $\alpha \text{-}\psi$-Contractive Multivalued Mappings in Cone Metric Spaces

#### Abstract

We define the notion of ${\alpha }^{\ast}\text{-}\psi$-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 ${\alpha }^{\ast}\text{-}\psi$-contractive mapping satisfying all conditions of our main result has been constructed.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 313782, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393442133

Digital Object Identifier
doi:10.1155/2013/313782

Mathematical Reviews number (MathSciNet)
MR3126764

Zentralblatt MATH identifier
1294.54029

#### Citation

Kutbi, Marwan Amin; Ahmad, Jamshaid; Azam, Akbar. On Fixed Points of $\alpha \text{-}\psi$ -Contractive Multivalued Mappings in Cone Metric Spaces. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 313782, 6 pages. doi:10.1155/2013/313782. https://projecteuclid.org/euclid.aaa/1393442133

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