Three of the four House incumbents considered vulnerable in Tuesday’s primaries have emerged victorious, according to local media reports.

Rep. Jean Schmidt (R-Ohio) has been declared the winner in her primary contest with state Rep. Tom Brinkman. With 46 percent of precincts reporting, Schmidt had 62 percent of the vote to Brinkman’s 35 percent.

In Texas, Rep. Ron Paul (R) had a more than 2-1 advantage over Chris Peden, a local official. And The Associated Press has declared Rep. Ralph Hall (R) the winner in his multiple candidate GOP primary.

Results in the race involving Rep. Dennis Kucinich (D-Ohio) were only beginning to trickle in late Tuesday.