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We establish a generalized Ulam-Hyers stability theorem in a &#352;erstnev probabilistic normed space (briefly, &#352;erstnev PN-space) endowed with &#x03A0;M. In particular, we introduce the notion of approximate Jensen mapping in PN-spaces and prove that if an approximate Jensen mapping in a &#352;erstnev PN-space is continuous at a point then we can approximate it by an everywhere continuous Jensen mapping. As a version of a theorem of Schwaiger, we also show that if every approximate Jensen type mapping from the natural numbers into a &#352;erstnev PN-space can be approximated by an additive mapping, then the norm of &#352;erstnev PN-space is complete

Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces