Fuzzy Metric Spaces and Corresponding Fixed Point Theorems for Fuzzy Type Contraction
Musa Adeku Ibrahim
1
(Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria)
Muhammed Raji
2
(Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria)
Kamilu Rauf
3
(Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria)
کلید واژه: Fixed point, Fuzzy fixed point, Contractive type mapping, Hausdorff fuzzy metric space, Fuzzy mapping.,
چکیده مقاله :
In this paper, we present innovative concepts of fuzzy type contractions and leverage them to establish fixed point theorems for fuzzy mappings within the framework of fuzzy metric spaces. The results of this article are applied to multivalued mappings and fuzzy mappings for contractive fuzzy type mappings. Through illustrative examples, we showcase the practical applicability of our proposed notions and results, demonstrating their effectiveness in real-world scenarios.
چکیده انگلیسی :
In this paper, we present innovative concepts of fuzzy type contractions and leverage them to establish fixed point theorems for fuzzy mappings within the framework of fuzzy metric spaces. The results of this article are applied to multivalued mappings and fuzzy mappings for contractive fuzzy type mappings. Through illustrative examples, we showcase the practical applicability of our proposed notions and results, demonstrating their effectiveness in real-world scenarios.
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