Resumen:
In this paper we discuss the notions of pseudo-contractibility
and weak contractibility on hyperspaces of (Hausdorff) continua. Also
we prove that if a continuum X contains an R
i
-set then it is not pseudocontractible.
As a consequence we have that the existence of an R
-set in
a continuum X implies non(pseudo)-contractibility of some hyperspaces.