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Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications

Author

Listed:
  • Jamshaid Ahmad
  • Chakkrid Klin-Eam
  • Akbar Azam

Abstract

In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the notion of continuity. Our results improve and extend the results of Azam et al. (2011).

Suggested Citation

  • 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).
  • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:854965
    DOI: 10.1155/2013/854965
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    References listed on IDEAS

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    1. 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).
    2. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, June.
    4. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam, 2013. "On Fixed Points of -Contractive Multivalued Mappings in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, November.
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    Cited by:

    1. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam & Nawab Hussain, 2014. "On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Marwan Amin Kutbi & Muhammad Arshad & Jamshaid Ahmad & Akbar Azam, 2014. "Generalized Common Fixed Point Results with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. 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).
    4. Olawale Kazeem Oyewole & Kazeem Olalekan Aremu & Lateef Olakunle Jolaoso, 2020. "Common Fixed Point Results for a Pair of Multivalued Mappings in Complex‐Valued b‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).

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