The group want former chairman Malcolm Murray and ex-director Paul Murray made directors at Ibrox again and for them to be joined on the board by Scott Murdoch and Alex Wilson.
The Murrays and shareholders Ian Cormack, John Graham and Colin Howell say that because of Rangers' failure, proper notice will not be given of the AGM and the resolutions for the appointments will not form part of the business for the meeting set for October 24.
Their counsel Richard Keen QC told Lord Kinclaven that notice of the AGM only appeared on a Rangers website at 5pm on Thursday.
The Court of Session in Edinburgh heard notice would have to be given by the previous day. Heriot Currie QC, for Rangers, said notice had been made both by hard copy and through a website. But Mr Keen, Dean of Faculty of Advocates, said it was not the formal notice, but a regulatory notice.
The shareholders said that on September 27 they each made a request in writing of four resolutions it was intended to move at the AGM to appoint the Murrays, Mr Murdoch and Mr Wilson.
Lord Kinclaven said he would appoint a first hearing for October 14 and would continue the motion for an interim interdict. After the hearing, Rangers said they believed the AGM would be held on October 24 but the shareholders believed their argument would succeed on October 14.