Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces
MetadataShow full item record
Fuzzy metric spaceFixed pointProinov-type theoremNon-Archimedean space
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
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.