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On Fixed Points of α‐ψ‐Contractive Multivalued Mappings in Cone Metric Spaces

Author

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  • Marwan Amin Kutbi
  • Jamshaid Ahmad
  • Akbar Azam

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.

Suggested Citation

  • Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam, 2013. "On Fixed Points of α‐ψ‐Contractive Multivalued Mappings in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:313782
    DOI: 10.1155/2013/313782
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    References listed on IDEAS

    as
    1. Erdal Karapınar & Bessem Samet, 2012. "Generalized α‐ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Chi-Ming Chen, 2012. "Fixed Point Theorems for ψ‐Contractive Mappings in Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Chi-Ming Chen, 2012. "Fixed Point Theorems for 𠜓 -Contractive Mappings in Ordered Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, January.
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    Cited by:

    1. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam & Ahmed Saleh Al-Rawashdeh, 2014. "Generalized Common Fixed Point Results via Greatest Lower Bound Property," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Jamshaid Ahmad & Chakkrid Klin-Eam & Akbar Azam, 2013. "Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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