(a) By mandamus, suit, action or proceeding at law or in equity to compel the Authority and the members, officers, agents or employes thereof to perform each and every term, provision and covenant contained in any contract of the Authority with or for the benefit of such obligee, and to require the carrying out of any or all such covenants and agreements of the Authority and the fulfillment of all duties imposed upon the Authority by this act.

(b) By proceeding in equity to obtain an injunction against any acts or things which may be unlawful, or the violation of any of the rights of such obligee of the Authority.