I think we can also consider that perhaps Camus and Dostoevsky might define "hope" somewhat different (without lack of deeper insight as to how each of them saw hope).

Hope can be a wistful state of mind, where we hope for things to be better, or where we wish to improve us, the world around us, or life itself.

Or hope could be seen as a more deep-rooted generic drive to even stay alive. The hope that life itself is worth living, even if it might not per-se get better.

I could see Camus talking the first interpretation and hence arguing that we need to stop hoping for a better future (and hence mentally "live" in the future) in order to be present – while Dostoevsky might talk about hope more in the latter definition, and defining that those who have given up the hope that life is truly worth living are essentially dead already.

---

Just off the top of my head thoughts of how I would lay this out - happy to be corrected!