A fixed point theorem for a special class of probabilistic contraction

Abstract

In this paper, a special class of probabilistic contraction will be considered. Using the theory of countable extension of t-norms, we proved a fixed point theorem for such a class of mappings f : S → S, where (S, F , T) is a Menger space. Mathematics Subject Classification (2000) 54H25, 47H10 © 2011 Došenovićć et al; licensee Springer.