In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b‐metric space. Also, we prove a Banach‐type fixed point theorem and a new fixed point theorem for some self‐mappings satisfying fuzzy ψ‐contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results.

中文翻译：

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控制的模糊度量空间和一些相关的不动点结果

在本文中，我们引入了模糊度量主题的新扩展，称为受控模糊度量空间。这个概念是模糊b度量空间的推广。此外，对于某些满足模糊ψ收缩条件的自映射，我们证明了Banach型不动点定理和新的不动点定理，该条件比现有定理更通用。此外，我们建立了一些有关主要结果的例子。