Special meetings of the City Council shall be called by the City Clerk on the written request of the Mayor, the President of the City Council, or any two Council members, including the Chair of the standing or special committee of the Council having jurisdiction over the subject matter of the meeting. The request shall state the purpose or purposes for which the meeting is called. A written notice, giving the purpose or purposes and the time and place of the special meeting, shall be served under the direction of the City Clerk, personally or by mail, on each member of the Council at least 24 hours before the time of the meeting. Due public notice must be given, including at least eight hours' notice to the news media. Only matters pertaining to the purpose or purposes of the meeting, as set forth in the notice thereof, shall be considered at any such meeting.