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Open AccessFeature PaperArticle
Fixed Point Theorems in Fuzzy Partial Metric Spaces
by
Dingwei Zheng
Dingwei Zheng
and
Qingming He
Qingming He
School of Mathematics and Information Science, Guangxi University, Nanning 530004, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(16), 2632; https://doi.org/10.3390/math13162632 (registering DOI)
Submission received: 17 July 2025
/
Revised: 7 August 2025
/
Accepted: 14 August 2025
/
Published: 16 August 2025
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 -contractive mappings in fuzzy partial metric spaces and present related fixed point theorems.
Share and Cite
MDPI and ACS Style
Zheng, D.; He, Q.
Fixed Point Theorems in Fuzzy Partial Metric Spaces. Mathematics 2025, 13, 2632.
https://doi.org/10.3390/math13162632
AMA Style
Zheng D, He Q.
Fixed Point Theorems in Fuzzy Partial Metric Spaces. Mathematics. 2025; 13(16):2632.
https://doi.org/10.3390/math13162632
Chicago/Turabian Style
Zheng, Dingwei, and Qingming He.
2025. "Fixed Point Theorems in Fuzzy Partial Metric Spaces" Mathematics 13, no. 16: 2632.
https://doi.org/10.3390/math13162632
APA Style
Zheng, D., & He, Q.
(2025). Fixed Point Theorems in Fuzzy Partial Metric Spaces. Mathematics, 13(16), 2632.
https://doi.org/10.3390/math13162632
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