WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Utilizing Simulation Functions in Demonstrating Fixed Point Theorems within Complete Neutrosophic Fuzzy Metric Spaces
Authors: , , , ,
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Abstract: Fixed point theory is a fundamental concept that underpins various areas of both applied
and theoretical mathematics, owing to its widespread applications across diverse disciplines. This
study delves into the development of fixed point theorems for ζ*-neutrosophic fuzzy contractions,
analyzed within the new framework of NFMS. These advanced spaces provide a robust environment
for exploring the intricate behavior of functions that exhibit uncertainty, indeterminacy, and fuzziness.
In addition to introducing these new theorems, we also derive multiple results related to fixed points
within this context, shedding light on their properties and potential applications. The findings offer
valuable insights into the mathematical structures that arise in scenarios where classical methods may
not suffice, thus broadening the scope of fixed point theory in uncertain and fuzzy environments.
Pages: 584-594
DOI: 10.37394/23206.2025.24.57