Fixed Point Theorems in Fuzzy Partial Metric Spaces

Zheng, Dingwei; He, Qingming

doi:10.3390/math13162632

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16 August 2025

12 Pages

Fixed Point Theorems in Fuzzy Partial Metric Spaces

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

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Mathematics2025, 13(16), 2632;https://doi.org/10.3390/math13162632

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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

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