  We have investigated the production potential of the spin-1/2 excited muons,
predicted by the preonic models, at the four SPPC (Super Proton-Proton
Collider)-based muon-proton colliders in different center-of-mass energies. For
the signal process \mu p\rightarrow\mu^{\star}X\rightarrow\mu\gamma X, the
production cross-section and the decay width values of the excited muons have
been calculated. The pseudorapidity and transverse momentum distributions of
the final state particles of muons and photons have been obtained to be
determine the kinematical cuts best suited for discovery of the excited muons.
By applying these cuts we have gotten the discovery, observation and exclusion
mass limits of the excited muons for two compositeness scale values. It is
shown that the discovery limits on the excited muons in case the compositeness
scale equals to 100 TeV are 2.7, 3.9, 3.1 and 6.7 TeV for center-of-mass
energies of 10.3, 14.2, 14.6 and 20.2 TeV, respectively.
