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

Author

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  • 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, Hindawi, vol. 2013, pages 1-12, December.
    • Handle: RePEc:hin:jnlaaa:854965
    DOI: 10.1155/2013/854965
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    Cited by:

    1. Afrah Ahmad Noman Abdou, 2023. "Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(14), pages 1-21, July.
    2. Humaira & Muhammad Sarwar & G. N. V. Kishore, 2018. "Fuzzy Fixed Point Results For Contractive Mapping with Applications," Complexity, Hindawi, vol. 2018, pages 1-12, January.
    3. 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).
    4. Amiri, Pari & Samei, Mohammad Esmael, 2022. "Existence of Urysohn and Atangana–Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    5. Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(20), pages 1-12, October.
    6. 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.

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