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Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results

Author

Listed:
  • Şuara Onbaşıoğlu

    (Department of Mathematics, Kocaeli University, 41001 Kocaeli, Turkey
    These authors contributed equally to this work.)

  • Banu Pazar Varol

    (Department of Mathematics, Kocaeli University, 41001 Kocaeli, Turkey
    These authors contributed equally to this work.)

Abstract

The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.

Suggested Citation

  • Şuara Onbaşıoğlu & Banu Pazar Varol, 2023. "Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1902-:d:1125795
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    References listed on IDEAS

    as
    1. Valentín Gregori & Juan-José Miñana & David Miravet, 2019. "Extended Fuzzy Metrics and Fixed Point Theorems," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    2. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
    3. Halis Aygün & Elif Güner & Juan-José Miñana & Oscar Valero, 2022. "Fuzzy Partial Metric Spaces and Fixed Point Theorems," Mathematics, MDPI, vol. 10(17), pages 1-15, August.
    4. Tarkan Öner & Alexander Šostak, 2020. "Some Remarks on Fuzzy sb -Metric Spaces," Mathematics, MDPI, vol. 8(12), pages 1-19, November.
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    Cited by:

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    2. Wajid Ali & Tanzeela Shaheen & Hamza Ghazanfar Toor & Faraz Akram & Md. Zia Uddin & Mohammad Mehedi Hassan, 2023. "An Innovative Decision Model Utilizing Intuitionistic Hesitant Fuzzy Aczel-Alsina Aggregation Operators and Its Application," Mathematics, MDPI, vol. 11(12), pages 1-22, June.

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