President Obama and Republican challenger Mitt Romney will continue talking jobs and the economy in the battleground state of Virginia Thursday, where early voting has already begun. 

On Wednesday, the candidates squared off in Ohio, hoping to snag the swing state's 18 electoral votes.

"I'm not fighting to create Democratic jobs or Republican jobs," Obama told an Ohio crowd. I'm fighting to create American jobs."

Republican challenger Mitt Romney threw a few jabs of his own.

"Let me ask you this," Romney addressed a Buckeye State audience. "Do you really want four more years of 23 million people struggling to find a job?"

Meanwhile, GOP vice presidential nominee Paul Ryan campaigned in Colorado Wednesday, where he blasted the White House, saying its foreign policy is "blowing up in our faces."

"When we equivocate on speaking up for our values overseas," Ryan said, "our freedom -- freedom of religion, freedom of speech, freedom for women's rights and individual rights -- when we do this, we project weakness abroad."

Ryan's comments follow the president's speech to the U.N. General Assembly this week, where he stressed diplomacy and coalition building.