After an injury to a quadriceps muscle last season, Mitchell collected his most important victory in a year or more.
Clark (11-9) collected his first victory in five starts by allowing just five hits and three runs over eight and a third innings.
Hudson logged eight shutout innings on three days of rest and collected his fifth victory, but Glavine left Atlanta with another scar.
If San Francisco does not take this opportunity to collect its first victory, it could be waiting a long time.
Abbott (8-5) collected his first victory in six decisions in the Royals' park.
Chuck Finley (14-4) allowed just one earned run and nine hits in collecting his 11th victory in his last 13 decisions.
Smithson (3-4) collected his first victory since May 25, when he shut out Seattle, 10-0.
Although Wetteland lost his first save opportunity in six tries, he collected his first victory.
Frank Tanana (5-4) collected only his second victory at Tiger Stadium this year.
It collected its 11th victory in 12 games, its fifth straight.