In the ?Nash, Schooner, O'Brien-DeBakey, Edwards, 2007, Government Contracts Reference Book - 3rd Edition?, the terms "Requirements Contract" and "Requirements-Type Contracts" are two separate terms.
Requirements contract is defined in FAR 16.503(a). Requirements-Type Contracts are defined as two or more contracts. Apparently, per the reference book, "these contracts are not defined in the FAR but have been recognized by the courts". I quote ?they provide an effective way to obtain commitments from a group of contractors when the government has a recurring need for supplies or services that can be furnished by a large number of contractors?.
So based on this, it sounds like with a Requirements-Type contract that multiple awards would be possible.