KABUL, Afghanistan — Afghanistan’s president welcomed his new term — achieved after his opponent withdrew from a runoff election — by reaching out to opponents Tuesday and promising to banish the corruption that has undermined his administration.

Hamid Karzai did not spell out how he would institute reforms or mention whether he is willing to make concessions to his opponents.

Karzai spoke a day after being declared victor of an election so marred by fraud that it took two and a half months to resolve. His main opponent, Abdullah Abdullah, said when he dropped out of a planned runoff that he was withdrawing because it could not be free or fair.

Karzai said he wants people from every part of the country in his government, including political opponents and Taliban who are ready to cooperate with the administration. But he never mentioned Abdullah by name.