Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces
Metadatos
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MDPI
Materia
Fuzzy metric space Fixed point Proinov-type theorem Non-Archimedean space
Fecha
2021Referencia bibliográfica
Roldán López de Hierro, A.F.; Fulga, A.; Karapınar, E.; Shahzad, N. Proinov-Type FixedPoint Results in Non-Archimedean Fuzzy Metric Spaces. Mathematics 2021, 9, 1594. https://doi.org/ 10.3390/math9141594
Resumen
Very recently, Proinov introduced a great family of contractions in the setting of complete
metric spaces that has attracted the attention of many researchers because of the very weak conditions
that are assumed on the involved functions. Inspired by Proinov’s results, in this paper, we introduce
a new class of contractions in the setting of fuzzy metric spaces (in the sense of George and Veeramani)
that are able to translate to this framework the best advantages of the abovementioned auxiliary
functions. Accordingly, we present some results about the existence and uniqueness of fixed points
for this class of fuzzy contractions in the setting of non-Archimedean fuzzy metric spaces.