(A) Whenever the City Council shall deem it advisable to vacate, discontinue, or abolish any street, alley, or public ground, or any part thereof, it shall, by resolution, so declare, and in the same resolution shall appoint a time not less than 4 weeks thereafter, when it shall meet and hear objections thereto; notice of this meeting shall be published at least once not less than 4 weeks before the time appointed for the meeting in a newspaper circulated within the city.
(B) In addition to publication of the notice as set forth in subsection (A) of this section, notice by first class U.S. mail shall be sent to each property owner, as shown by the most recent tax assessment roll, owning property or assessed for taxes on property abutting any portion of the street, alley, or public ground proposed to be vacated, discontinued, or abolished. The notice shall be mailed at least 14 days prior to the set date for the meeting. Notice mailed to the person, firm, or corporation shown on the city tax assessment roll shall be sufficient to satisfy this requirement, and if the person whose name appears on the tax assessment roll shall have previously signed a petition to the city requesting the vacation, discontinuance, or abolishment, then no mailed notice shall be required to that petitioner.