# Article

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Keywords:
fuzzy set; $\alpha$-fuzzy preorder relation; $\alpha$-fuzzy order relation; non-expanding fuzzy multifunction; fixed point
Summary:
We prove the existence of a fixed point of non-expanding fuzzy multifunctions in $\alpha$-fuzzy preordered sets. Furthermore, we establish the existence of least and minimal fixed points of non-expanding fuzzy multifunctions in $\alpha$-fuzzy ordered sets.
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