In this paper, we introduce a new subclass of analytic and te-univalent functions in the open unit disc associated with the operator $\Re _{\lambda ,p,q}^{\alpha ,\beta ,\gamma }$, which is defined by using the (p,q)-derivative. We find estimates for the first two Taylor-Maclaurin coefficients $|a_{2}|$ and $|a_{3}|$ for functions in this subclass, and we obtain an estimation for the Fekete-Szegő problem for this function class. Our results generalize some previously published results.