SANA, Yemen — Despite the death of Anwar al-Awlaki, the infamous Yemeni-American cleric who was a propagandist for aspiring jihadists around the globe, Yemen’s battle against Al Qaeda is far from complete, as security forces fought over the weekend against Islamic militants who control large areas of territory in the country’s restive south.

In Zinjibar, a city captured last May by Islamic militants linked with Al Qaeda, about 25 militants and 20 soldiers have been killed in fighting over two days, local security officials said.

Dozens of other militants were killed by airstrikes elsewhere in Abyan Province, the officials said, including one that hit a school in the city of Jaar that was being used by the militants as a base.

The government also announced Sunday that Ibrahim Hassan al-Asiri, a Saudi bomb maker who was reported to have possibly been killed in the airstrike against Mr. Awlaki on Friday, was not among the dead.