The Roosevelt Corollary refers to a foreign policy stance taken by Theodore Roosevelt that was an offshoot of the earlier Monroe Doctrine. During his State of the Union Address in 1904, Roosevelt said that the U.S. would not allow European nations to enforce their will in Latin American countries but they would help European nations seek reparations for things like foreign debt and damage. This was also known as a “Good Neighbor Policy”
This corollary related to Big Stick diplomacy in a few different ways. Big Stick diplomacy worked under the assumption that you back up all diplomatic negotiations with the reality of military force. Roosevelt assured Europe that legitimate claims would be seen to, but he also threatened that any incursion into Latin America would not be tolerated. When Germany, Italy and Britain blockaded Venezuela in 1902, Roosevelt did just this. He promised the U.S. would use its navy to intervene and stabilize the Caribbean region economically, but not until the Europeans left.