Ciric type p-cyclic contraction results for discontinues mappings

Cyclic mappings constitute a recently introduced class of map- pings which have appeared in a number of papers in the contexts of xed point theory and in the theory of optimization. In this paper we consider p-cyclic contraction type mappings which are generalized cyclic contractions through p number of subsets of a probabilistic metric space. Moreover the contractive mappings are discontinuous. We use Hadzic type t-norms in our theorems which is characterized by the equicontinuities of its iterates. We deduce two xed point theorems. In one of the theorems we use a control function which is the counterpart of a function widely used in xed point the- ory in metric spaces. The theorems are supported with examples. The work is in the line of research developing probabilistic xed point theory.