In this paper, the synchronization issue of memristive neural networks with cooperative and competitive interactions is examined. With a signed graph used to describe coopetition networks, variable substitution is appropriately introduced to convert the equations describing the inertia memristive neural networks (IMNNs) into the first-order differential equations. Then a discontinuous controller is adequately constructed to derive the bipartite synchronization criterion for coupled IMNNs over coopetition networks. Lastly, the validity of the proposed bipartite synchronization criterion is demonstrated by a numerical example.