On a superspray in lagrange superspaces

The notion of Finsler superspace was introduced by S. Vacaru. In this paper we will show that in a Finsler superspace, each Finsler metric induces a superspray. By using this superspray we generate a sequence of nonlinear connections associated to it. In a particular case when we use an affine Berwald-type connection, this sequence is constant.