Speaker
Description
The ideology of fuzzy mathematics was created to measure the quantities which
cannot be measured usually by crisp set data values. But it fell short when parametric
data containing two or more parameters was to be represented. To overcome this
flaw, J.H. Park in 2004 introduced the ideology of Intuitionistic Fuzzy Metric Space,
from the concepts of intuitionistic fuzzy set. For more than a decade, this discovery
served for the representation of data containing two papameters. But after that, in
2020 and 2024, M. Kirisci et. al. & S. Ghosh et. al. introduced the concepts of Neutrosophic
metric and Neutrosophic fuzzy metric respectively. The discoveries turned
out efficient for the representation of data containing more than two parameters.
Later in 2025, S. Ghosh et. al. introduced fixed point results for Banach, Eldestein
and Kannan type mappings, and the notion of semi-metric in Neutrosophic
fuzzy metric space. The obtained results were also used to characterzize the completeness
of the said space.
Now, the current research introduces some best proximity point results for Ciric
type α − ψ contractive mappings in the said space. A through rigorous analysis of
which, provides a detailed understanding of its fundamental characteristics, illuminating
its potential applications and theoretical significance in some real life problems,
such as in climate detection, weather forecasting and lie detection. To the best of
known literatures, this kind of work in the said space has not yet been found.