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Fuzzy Fixed Point Results For Contractive Mapping with Applications

Author

Listed:
  • Humaira
  • Muhammad Sarwar
  • G. N. V. Kishore

Abstract

In this paper, using rational type contractions, common fuzzy fixed point result for contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. To show the validity of the derived results an appropriate example and applications are also discussed.

Suggested Citation

  • 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.
  • Handle: RePEc:hin:complx:5303815
    DOI: 10.1155/2018/5303815
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    References listed on IDEAS

    as
    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, Hindawi, vol. 2014, pages 1-11, July.
    2. 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, Hindawi, vol. 2014, pages 1-12, May.
    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. Marwan Amin Kutbi & Muhammad Arshad & Jamshaid Ahmad & Akbar Azam, 2014. "Generalized Common Fixed Point Results with Applications," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, April.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.

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