Olivia Voldaren has the following for her second ability:
{3}{B}{B}: Gain control of target Vampire for as long as you control Olivia Voldaren.
Meanwhile, Merieke Ri Berit has this for her second ability:
{T}: Gain control of target creature for as long as you control Merieke Ri Berit. When Merieke Ri Berit leaves the battlefield or becomes untapped, destroy that creature. It can't be regenerated.
My opponent activates Olivia Voldaren's second ability, targeting a vampire. In response, I activate Merieke Ri Berit's second ability to steal Olivia Voldaren. Will my opponent still gain control of the vampire?