We report the temperature-pressure-magnetic field phase diagram of the ferromagnetic Kondo-lattice CeTiGe$_3$ determined by means of electrical resistivity measurements. Measurements up to $sim$ 5.8 GPa reveal a rich phase diagram with multiple phase transitions. At ambient pressure, CeTiGe$_3$ orders ferromagnetically at $T_text{C}$ = 14 K. Application of pressure suppresses $T_text{C}$, but a pressure induced ferromagnetic quantum criticality is avoided by the appearance of two new successive transitions for $p$ $>$ 4.1 GPa that are probably antiferromagnetic in nature. These two transitions are suppressed under pressure, with the lower temperature phase being fully suppressed above 5.3 GPa. The critical pressures for the presumed quantum phase transitions are $p_1$ $cong$ 4.1 GPa and $p_2$ $cong$ 5.3 GPa. Above 4.1 GPa, application of magnetic field shows a tricritical point evolving into a wing structure phase with a quantum tricritical point at 2.8 T at 5.4 GPa, where the first order antiferromagnetic-ferromagnetic transition changes into the second order antiferromagnetic-ferromagnetic transition.
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