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On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property

Author

Listed:
  • Marwan Amin Kutbi
  • Jamshaid Ahmad
  • Akbar Azam
  • Nawab Hussain

Abstract

Let (X, d) be a complex valued metric space and let S, T be mappings from X to a set of all fuzzy subsets of X. We present sufficient conditions for the existence of a common α‐fuzzy fixed point of S and T. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:549504
    DOI: 10.1155/2014/549504
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    References listed on IDEAS

    as
    1. 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).
    2. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, April.
    3. 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.
    4. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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