JEFFERSON CITY, Mo. — Facing new calls to resign from some fellow Republicans, Missouri Gov. Eric Greitens instead affirmed his intent Tuesday to remain on the job while seeking forgiveness for an extramarital affair that he described as a “personal mistake.”

Greitens, who has stayed out of the public eye since admitting to an affair last week, distributed a message via Facebook and email Tuesday that simultaneously apologized for his actions and asserted that some allegations against him were false and “extremely hurtful.”

“I assure you that this personal mistake will not deter us from the mission we were sent here to do,” Greitens said in the statement. “We have been, and we will, continue to work for and to fight for the people of Missouri.”