Definition of a 'Competitive Firm' and a 'Perfectly Competitive Firm'
Without seeing a particular context, it is hard to be 100% sure. But typically the term "competitive" is used as shorthand for "perfectly competitive".


  A market is perfectly competitive if everyone in that market takes the price as given. That means a seller in a perfectly competitive market can sell as much or as little as he likes (and a buyer can purchase as much or as little as he likes) at the prevailing market price. Nobody has any power to influence the market price.


Contrast this with something like a monopolist, which can set whatever price it likes and therefore obviously does not take the price as given.

A firm in a perfectly competitive market would be said to be a "competitive firm".