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Fixed points of fuzzy contractive and fuzzy locally contractive maps

Author

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  • Azam, Akbar
  • Arshad, Muhammad
  • Beg, Ismat

Abstract

We establish some fixed point theorems for fuzzy contractive and fuzzy locally contractive mappings on a compact metric space with the d∞-metric for fuzzy sets. Our results generalized well-known classical results of Edelstein.

Suggested Citation

  • Azam, Akbar & Arshad, Muhammad & Beg, Ismat, 2009. "Fixed points of fuzzy contractive and fuzzy locally contractive maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2836-2841.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2836-2841
    DOI: 10.1016/j.chaos.2009.04.026
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    References listed on IDEAS

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    1. Kamran, Tayyab, 2008. "Common fixed points theorems for fuzzy mappings," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1378-1382.
    2. Abu-Donia, H.M., 2007. "Common fixed point theorems for fuzzy mappings in metric space under ϕ-contraction condition," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 538-543.
    3. Qiu, Dong & Shu, Lan & Guan, Jian, 2009. "Common fixed point theorems for fuzzy mappings under Φ-contraction condition," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 360-367.
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    Cited by:

    1. Muhammad Nouman Aslam Khan & Akbar Azam & Nayyar Mehmood, 2017. "Coincidence Points of a Sequence of Multivalued Mappings in Metric Space with a Graph," Mathematics, MDPI, vol. 5(2), pages 1-10, May.
    2. Badshah-e-Rome & Muhammad Sarwar & Rosana Rodríguez-López, 2021. "Fixed Point Results via α -Admissibility in Extended Fuzzy Rectangular b -Metric Spaces with Applications to Integral Equations," Mathematics, MDPI, vol. 9(16), pages 1-18, August.

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    1. Qiu, Dong & Shu, Lan & Guan, Jian, 2009. "Common fixed point theorems for fuzzy mappings under Φ-contraction condition," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 360-367.
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