It seems Lyson is no longer making the special black/white inks, but I found this page for specialized BW inkjet printing. Holy cow, that's a whole science. And that's just one company. (Seems like a good one though.)
Interesting that the ink is not ink or pigment based, it's carbon based. In theory that should last forever, carbon does not fade. (BW photocopies on good paper are very long-lived for the same reason, it's carbon.)
BTW, this article on inkjet art still rocks. For instance, he compares an inkjet print with three other prints of the same picture which were done with various high-end traditional darkroom methods:
"We showed these four prints to several dozen people both in and out of photography to see which they liked best. There was no contest. In side-by-side comparisons the Epson print was everyone’s favorite – everyone. The Epson print was more three dimensional, more tactile, had visually deeper blacks, and felt more alive — and not by just a bit. It was better by leaps and bounds. I cannot tell you, what a shock this was to both of us traditional wet darkroom advocates."