JHutchins
Well-known
For black and white, silver prints are more archival IF they're on Fiber Base paper AND they're processed properly.
The inks used in inkjet prints will eventually fade, though current pigment inks are very durable. Silver-gelatin images are made of tiny particles of silver metal, so as long as the print was properly processed and the print is not exposed to atmospheric pollution, the prints will never fade.
I think too much is bound into the "if"s in the above for it to really have much power as a conclusion and even on its terms it isn't quite right. The image in any given silver print is going to be silver in some form suspended in gelatin on a paper base. There are lots and lots of avenues for change or decay over time here -- factors that attack the paper (acidity for example), factors that attack the gelatin (humidity, biological crap), and factors that attack the silver -- and since silver is a pretty reactive metal there are many and it's hard to isolate a print from that entirely especially where energy is available to the reaction through light. And properly processed has to be understood to include adequate washing and chemical neutralization techniques.
Some inkjet prints have remarkable longevity -- very possibly as good as silver (qualifications are needed because what we have to work with are artificial aging studies as we haven't had the time to wait and see what happens). And if pure carbon inks are used -which of course limits one to black and white - they should be far more inert and permanent than a silver print.
If you really want permanent, probably the best thing you can do is make a platinum print and keep it out of any city where there's smog or make a carbon print. Those should be as durable as the paper and whatever sizing is used on the paper.
But yes it is lovely to be able to show people your image as you see it. It is frustrating to see one's work on other people's monitors where what one thought was there wasn't or what wasn't supposed to be there is depending on the monitor and how it's adjusted. All of photography is about the choices open to the photographer and how those choices affect the perceived image. Some of those choices are made in the camera, some in photoshop or the darkroom, some in the presentation of the display image. And when viewed on someone else's monitor, many of the choices you make (choices about brightness, contrast, color, tonality most obviously) are stripped away and the image that is seen isn't the one you tried to produce. A print is as close as you can come to showing someone else the image that you wanted seen.