Fixed Point Theorems for Multivalued Mappings in Neutrosophic Fuzzy Metric Spaces

For multivalued mappings, Fixed point theorems are examined in this study within the context of Neutrosophic fuzzy metric spaces (NFMS), which are a further period of classical fuzzy metric spaces (FMS) that enable a more sophisticated depiction of indeterminacy, ambiguity, and uncertainty. We define and show three fixed point (fp) theorems under different contractive-type circumstances using the neutrosophic fuzzy Hausdorff metric by generalizing well-known fixed point results from full cone metric spaces. These findings complement and integrate previous research on multivalued contractions in fuzzy and cone metric contexts. A versatile and reliable method for examining the presence of fixed points for multivalued operators under neutrosophic uncertainty is offered by the introduced theorems. Additionally, illustrative examples are provided to show how the primary findings are applicable.