On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results |
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Authors: | Mohammed Shehu Shagari Musa Balarabe |
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Institution: | Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria |
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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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Keywords: | $L$-fuzzy set $L$-fuzzy fixed point metric space multi-valued mapping stability |
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