Some Anheuser-Buschshareholders have filed lawsuits seeking to force the U.S. brewer to fairly consider the $46.3 billion takeover bid from InBev, according to court documents obtained by Reuters Tuesday.

Anheuser-Busch rejected InBev's unsolicited bid on Friday and outlined plans to cut $1 billion in costs and improve earnings in a move to convince investors that InBev's overture was too low.