Passionfruit:
http://www.easyfruit.co.uk/passiflora/index.html
"Cuttings should be taken in late spring as new shoots reach 7 to 8 inches in length, they should be taken with a 'heal' which needs to be trimmed clean.
The cuttings can if you like be dipped in to hormone rooting powder but this seems to have little effect on rooting the cuttings, the most important factor in getting passion fruit cuttings to root is bottom heat and humidity. The newly taken cuttings should be potted up 6 to a 3.5 inch pot which contains a compost consisting of 30% John Innes, 50% peat/coir compost and 20% sharp sand. The pots should be placed in to a propagator which has a lid or the plant pots should be placed in to clear plastic bags and placed over a temperature of 24�C. Rooting will start in around 2 to 3 weeks and the plants can be potted up individually and treated as seedlings once they reach 12 inches high or when roots are seen in the drainage holes of the pots."
Blackberries:
http://www.attra.org/attra-pub/bramble.html
"Most bramble plantings are established either from root cuttings or plants."
http://ssfruit.cas.psu.edu/chapter7/chapter7c.htm
"If available, use tissue-cultured blackberries as well; however, dormant canes may also be planted."
http://ssfruit.cas.psu.edu/chapter7/chapter7a.htm
http://edis.ifas.ufl.edu/BODY_HS104