When the City shall deem it advisable to vacate, discontinue, or abolish any highway, street, lane, alley, or public ground or any part thereof, or change the name thereof, they shall by resolution so declare, and in the same resolution shall appoint a time not less than four weeks thereafter when they will meet and hear objections thereto; notice of such meeting, with a copy of the resolution, shall be given in such manner as shall be prescribed by ordinance or resolution. Objections to such proposed action of the council may be filed with the city clerk in writing and if any such shall be filed, the street, alley, or public ground, or any part thereof, shall not be vacated, discontinued, or abolished, or the name changed, except by a vote of five-sevenths (5/7) of the council- and mayor-elect.