Ark. Code Ann. § 14-48-115: Mayor or director vacancy

In the case of a vacancy in the office of mayor or in the office of a member of the board of directors, the board, at the first regular meeting after the occurrence of the vacancy and by majority vote, shall appoint a person or call for a special election to be held in accordance with § 7-11-101 et seq. to fill the vacancy for the remainder of the unexpired term.