Geoffrey Davis, Rubain Dorancy and Diana Richardson may run for Karim Camara's Crown Heights seat.
The assemblyman said he won't seek the Democratic ticket for the vacant seat.
Malliotakis announced she won't challenge District Attorney Dan Donovan for the Republican nomination.
A grand jury convened by the DA declined to indict Officer Daniel Pantaleo in Eric Garner's death.
Donovan officially announced Friday he would run for former Rep. Michael Grimm's vacant seat.
A coalition of Republicans encouraged Dan Donovan to run.
State Senate and Assembly seats in four Brooklyn districts have been vacant since January.
On Tuesday, voters from Southeast Queens will choose a new City Council member.
Neville Mitchell will compete in a crowded race for the disgraced Bronx pol's City Council seat.
The special election between Fidler and Storobin is still too close to call.
Rep. Bob Turner will challenge Sen. Kirsten Gillibrand in the November 2012 election.
Democrat Dan Quart defeated Repubican Paul Niehaus in the race to fill the seat left by Jonathan Bing.
The candidates made their final push Tuesday, urging voters to cast their ballots in the 73rd Assembly District's special election race.
A special election will be held Sept. 13 to fill the seat vacated by disgraced former-Rep. Anthony Weiner.
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