Refixing door & window interior rubber trim

[Carrots]

I already have all of the rubber trim, its just loose and needs to be stuck back down. Can I just use generic adhesive, or is there something that would work better? The rubber running vertically down along the edges of the rear 3/4 windows is loose as well as the strips on the ends of the doors. The windshield, rear windshield & main windows are all A-OK. The doors should be easy enough but not sure what the best thing to use for re affixing the rubber back to the glass edges at the back. I've not noticed any waterleaks at all and so I don't think I need to worry about any weatherstripping or rubber replacement it's really just a case of tidying up and resticking the existing so that I don't have half floppy bits of rubber half flopping around. I *think* I just need something sticky, but what exactly I'm not sure. Brainwaves appreciated, thank you.

[Back N Black]

Weatherstrip adhesive.