  We introduce and study a new class of $T_0$ spaces, called open well-filtered
spaces. The main results we proved include (1) every well-filtered space is an
open well-filtered space; (2) every core-compact open well-filtered space is
sober. As an immediate corollary, we deduce that every core-compact
well-filtered space is sober. This provides another different and relatively
more straight forward method to answer the open problem posed by Jia and Jung:
Is every core-compact well-filtered space sober?
