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Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

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  • Marwan Amin Kutbi
  • Akbar Azam
  • Jamshaid Ahmad
  • Cristina Di Bari

Abstract

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.

Suggested Citation

  • Marwan Amin Kutbi & Akbar Azam & Jamshaid Ahmad & Cristina Di Bari, 2013. "Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, June.
    • Handle: RePEc:hin:jnljam:352927
    DOI: 10.1155/2013/352927
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    Cited by:

    1. Amer Hassan Albargi & Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application," Mathematics, MDPI, vol. 11(5), pages 1-20, March.
    2. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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