Nonlinear semigroups and differential inclusions in probabilistic normed spaces

The purpose of this poper is to introduce and study the semi-groups of nonlinearcontractions in probabilislic normed spaces and to establish the Crandall-Linggett'sexponential formula for some kind of accrelive mappings in probabilistic normed spaces . As applications. these results are utilized to study , the Cauchy problem for akind of differential inclusions with accretive mappings in probabilistic normed spaces.