  We have examined inclusive $\mu^+\mu^- \rightarrow \mu^+ \mu^- +
E_{\mathrm{miss}}$ and annihilation $\mu^+\mu^- \rightarrow \mu^+ \mu^-$
processes at future high energy muon colliders in the framework of the
Randall-Sundrum-like model with a small curvature of space-time. The collision
energies of 3 TeV, 14 TeV and, 100 TeV are addressed. Both differential and
total cross sections are calculated, and exclusion bounds on a 5-dimensional
gravity scale are obtained depending on collision energy and integrated
luminosity of the muon colliders.
