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Ri-sets, pseudo-contractibility and weak contractibility on hyperspaces of continua

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-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.