[sudosysgen]

AMD has come out with a DLSS equivalent, though more details need to be given.

That being said, AMD cards tend to age better than NVidia cards. My R9 290X went from being inferior to a 780Ti to 12-15% faster.

[p1necone]

AMD hasn't come out with anything like DLSS yet, but they've said they're "working on it".

[sudosysgen]

Technically they did already come out with a scaler that competes with DLSS 1, but for DLSS 2 they did say they are working on it. Of course, the first one isn't publicly available, and IIRC was focused on consoles.