  This paper is concerned with a general maximum principle for the fully
coupled forward-backward stochastic optimal control problem with jumps, where
the control domain is not necessarily convex, within the progressively
measurable framework. It is worth noting that not only the control variable
enters into all the coefficients, but also the jump size "$e$" . We first
proposed that the solution $Z$ of BSDEP also contains the variable "$e$", which
is different from previous articles and we provide an explanation in Remark
2.1.
