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Fixed Point Theorems in Fuzzy Partial Metric Spaces

Author

Listed:
  • Dingwei Zheng

    (School of Mathematics and Information Science, Guangxi University, Nanning 530004, China)

  • Qingming He

    (School of Mathematics and Information Science, Guangxi University, Nanning 530004, China)

Abstract

Inspired by the work of Gregori et al. and guided by some open direction, we propose the concepts of Cauchy sequence and convergent sequence in a fuzzy partial metric space by the residuum operator associated to a continuous t-norm. Based on these notions, we introduce the concepts of two kinds of fuzzy η -contractive mappings in fuzzy partial metric spaces and present related fixed point theorems.

Suggested Citation

  • Dingwei Zheng & Qingming He, 2025. "Fixed Point Theorems in Fuzzy Partial Metric Spaces," Mathematics, MDPI, vol. 13(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:16:p:2632-:d:1725997
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    References listed on IDEAS

    as
    1. Feng Gu, 2012. "Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-21, December.
    2. Feng Gu, 2012. "Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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