  Recently proposed Future Circular Collider based muon-proton colliders will
allow investigating lepton-hadron interactions at the highest center-of-mass
energy. In this study, we investigate the potential of these colliders for a
four-fermion contact interactions search. Regarding the constructive and
destructive interferences of contact interactions, we estimated discovery,
observation, and exclusion limits on the compositeness scale for the left-left,
right-right, left-right, and right-left helicity structures. This study's
findings show that the FCC-based {\mu}p colliders have great potential for
investigating four-fermion contact interactions.
