  Multi-TeV center of mass energy ep colliders based on the Future Circular
Collider (FCC) and linear colliders (LC) are proposed and corresponding
luminosity values are estimated. Parameters of upgraded versions of the FCC are
determined to optimize luminosity of electron-proton collisions keeping
beam-beam effects in mind. It is shown that L_{ep}\sim10^{32}\,cm^{-2}s^{-1}
can be achieved with moderate upgrade of the FCC parameters.
