Abstract
A general fixed point theorem for a multi-valued probabilistic q-contraction f : S → 2S is proved, where (S, ℱ, T) is a complete Menger space and ℱ satisfies a growth condition which is connected with the countable extension of a t-norm T. As a corollary a generalization of Tardiff's result27 is obtained. A random fixed point result is proved, where a measure space related to decomposable measure is used.
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