In the currently proposed phase I/II study, the investigators aim to treat patients with relapsed and/or relapsed refractory multiple myeloma (MM) who have progressed on carfilzomib-based therapy with an FDA approved c-MET inhibitor, cabozantinib. Our hypothesis is that the additional rescue blockade with cabozantinib added to the carfilzomib will (1) be safe and tolerable and (2) will show activity by demonstrating objective response to combination carfilzomib/cabozantinib therapy. In correlative studies, the investigators aim to show that (1) the serum and marrow MUC20 levels which will be judged by genomic and flow cytometric studies will directly correlate with primary plasma cell MUC20/c-Met pathway activation and inversely correlate with protease inhibitor (PI) resistance; and (2) a correlation of the gene and MUC20 expression profiles of patients with clinical outcomes may confirm the biomarker MUC20 as a predictor of disease sensitivity to PI, and allow future personalization of c-Met-targeted therapies, as well as combination approaches based on c-Met inhibitors.