The city and its legislative body shall have the power to improve a pedestrian mall as provided in subdivision (d) of Section 11101, and for the accomplishment, in whole or in part, of that purpose may use the Improvement Act of 1911, the Municipal Improvement Act of 1913, or any similar special assessment law. Any work or improvement permitted by said subdivision (d) shall be deemed to be work or improvement permitted to be done under any such act or law. The city may also pay the whole or any part of the cost and expenses of improving a pedestrian mall from its general funds or from any other available money and may let contracts for the work in any manner permitted by law or charter. No money available for expenditure within the city from the proceeds of any tax, license, or fee imposed by any public agency upon the ownership or operation of vehicles or the fuel used therein shall be used to pay such cost or expense, except as may be permitted by Section 11005 of the Revenue and Taxation Code.