A rocket fired from the Gaza Strip landed in the southern Israeli Shaar Hanegev region on Wednesday, causing no damage or casualties, the Israeli military told AFP.
Overnight on Tuesday, Israeli warplanes carried out an air strike in Gaza, killing a militant and wounding a father and his two sons, Palestinian medical sources and a militant group in the territory said.
The strike, east of the central city of Khan Yunis, killed Popular Resistance Committees (PRC) member Khaled Sahmud, 24, and came after militants fired a mortar round to push back an "Israeli incursion," the group said in a statement.
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On Monday night, warplanes bombed a suspected weapons manufacturing site in the central Gaza Strip after a rocket was fired from the Palestinian territory.
The new mortar and rocket fire came despite a ceasefire that came into force after a spasm of violence that followed a militant attack in Eilat on August 18, which left eight Israelis dead.
Israel responded with a series of air strikes on Gaza, killing 27 Palestinians, and militant groups in the coastal enclave fired dozens of rockets into the Jewish state.
Israel accused the PRC of being behind the Eilat attack, but the group denied it was responsible.