  A multidimensional cosmology with FRW type metric having 4-dimensional
space-time and $d$-dimensional Ricci-flat internal space is considered with a
higher dimensional cosmological constant. The classical cosmology in
commutative and DSR-GUP contexts is studied and the corresponding exact
solutions for negative and positive cosmological constants are obtained. In the
positive cosmological constant case, it is shown that unlike the commutative as
well as GUP cases, in DSR-GUP case both scale factors of internal and external
spaces after accelerating phase will inevitably experience decelerating phase
leading simultaneously to a big crunch. This demarcation from GUP originates
from the difference between the GUP and DSR-GUP algebras. The important result
is that unlike GUP which results in eternal acceleration, DSR-GUP at first
generates acceleration but prevents the eternal acceleration at late times and
turns it into deceleration.
