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κG‐Contractive Mappings in Fuzzy Metric Spaces

Author

Listed:
  • Maria Samreen
  • Sharafat Hussain
  • Hassen Aydi
  • Yaé Ulrich Gaba

Abstract

This article is concerned with a class of contractions in the framework of a fuzzy metric space endowed with a graph. The main results obtained not only broaden but also generalize a number of relevant results in the literature. Particularly, we get some results for cyclic contractions in fuzzy metric spaces. We also consider an integral equation.

Suggested Citation

  • Maria Samreen & Sharafat Hussain & Hassen Aydi & Yaé Ulrich Gaba, 2022. "κG‐Contractive Mappings in Fuzzy Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:5920124
    DOI: 10.1155/2022/5920124
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    References listed on IDEAS

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    1. Mi Zhou & Naeem Saleem & Xiaolan Liu & Andreea Fulga & Antonio Francisco Roldán López de Hierro, 2021. "A New Approach to Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 9(23), pages 1-21, November.
    2. Jianrong Wu & Hao Yang & Ljubisa Kocinac, 2020. "On Metrization of the Topologies Induced by Fuzzy Metrics," Journal of Mathematics, Hindawi, vol. 2020, pages 1-5, July.
    3. Hasanen A. Hammad & Manuel De la Sen, 2021. "Exciting Fixed Point Results under a New Control Function with Supportive Application in Fuzzy Cone Metric Spaces," Mathematics, MDPI, vol. 9(18), pages 1-23, September.
    4. Khalil Javed & Fahim Uddin & Hassen Aydi & Aiman Mukheimer & Muhammad Arshad & Sami Ullah Khan, 2021. "Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, February.
    5. Antonio Francisco Roldán López de Hierro & Andreea Fulga & Erdal Karapınar & Naseer Shahzad, 2021. "Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 9(14), pages 1-13, July.
    6. Kamran, Tayyab, 2008. "Common fixed points theorems for fuzzy mappings," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1378-1382.
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