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Cyclic mappings have appeared prominently in fixed point theory during the last decade. They have also their applications in global optimization problems. Note that  p -cyclic mappings are extensions of cyclic mappings over  p  number of sets. In this paper we introduce two  p -cyclic contractions in probabilistic spaces. We have two corresponding fixed point theorems using third-order Hadzic-type  t -norm and minimum  t -norm, respectively. One of the probabilistic contractions is of Ciric type while the other is a general contraction. One illustrative example is given. The space we consider here is a 2-Menger space which is an extension of a probabilistic metric space in the same vein as the 2-metric spaces are extensions of metric spaces.

Probabilistic p -cyclic contractions using different types of t -norms