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.
Bataihah et al. (2025) studied this question.