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On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results |
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KeyWord:$L$-fuzzy set, $L$-fuzzy fixed point, metric space, multi-valued mapping, stability |
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Abstract: |
In this paper, a general idea of Presic type $L$-fuzzy fixed point results using some weakly contractive conditions in the setting of metric space is initiated. Stability of $L$-fuzzy mappings and associated new concepts are proposed herein to complement their corresponding notions related to crisp multi-valued and single-valued mappings. Illustrative nontrivial examples are provided to support the assertions of our main results. |
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