Fixed Point Theorems in Fuzzy Partial Metric Spaces

Dingwei Zheng and Qingming He ()
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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

Mathematics, 2025, vol. 13, issue 16, 1-12

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.

Keywords: partial metric space; fuzzy metric space; residuum operator; fuzzy η -contractive mapping; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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