This research identifies convergent and Cauchy sequences in fuzzy partial metric spaces, suggesting new mapping techniques.
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.
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Zheng et al. (2025) studied this question.
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