Israel will seek to deal a crushing blow to Hamas's West Bank infrastructure following the kidnapping of three Israeli teenagers, army radio reported on Monday.

Plans to move against the Islamist movement were discussed at a meeting of the security cabinet convened by Prime Minister Benjamin Netanyahu at which ministers discussed punitive steps against Hamas which Israel has blamed for the kidnapping of three teenagers, media reports said.

Egypt on Monday called on Israel to show "self-restraint" in its massive crackdown on Hamas in the Palestinian territories as security forces hunt for three kidnapped teenagers.

Cairo's call comes after Israeli troops killed a 19-year-old Palestinian during clashes and arrested more than 40 people overnight, including the parliament speaker, a Hamas member.

Israeli premier Benjamin Netanyahu told Palestinian President Mahmud Abbas Monday he expected his help in ensuring the return of three kidnapped teenagers, in their first direct political contact since 2012.

The phone conversation took place as Israel pressed a vast search operation in the West Bank to find the three youths, whom Netanyahu has said were kidnapped last week by militants from the Islamist Hamas movement.

Israeli troops on Monday killed a Palestinian and arrested more than 40 overnight, including the parliament speaker, in a massive crackdown on Hamas whom Israel accuses of kidnapping three teenagers.

With the manhunt for the missing youths in its fourth day, Israeli forces were concentrating their focus on the southern West Bank city of Hebron and the surrounding area, home to some 663,000 Palestinians. 

Israeli troops killed a Palestinian youth early Monday, as a widespread West Bank manhunt for three missing Israeli youths believed to be kidnapped entered its fourth day. 

Ahmad Arafat, 19, was shot dead near the West Bank city of Ramallah as Israeli soldiers were conducting arrests as part of efforts to locate the three teens, which Israel said were kidnapped near Hebron on Thursday.

U.S. Secretary of State John Kerry Sunday condemned the kidnapping of three Israeli teenagers, and said many indications pointed to the involvement of Hamas.

"We are still seeking details on the parties responsible for this despicable terrorist act, although many indications point to Hamas’ involvement," he said.

The wife of Palestinian President Mahmoud Abbas has been treated in an Israeli hospital, media reported Sunday, as Israel searched for teenagers believed to be held captive in Palestinian territory.

Israeli news site Ynet said Amina Abbas was admitted to the private Assuta hospital in Tel Aviv on Thursday.

Israeli Prime Minister Benjamin Netanyahu on Sunday accused the Islamist Hamas movement of kidnapping three teenagers as a massive West Bank manhunt for the missing youths entered its third day.

As troops wrapped up the biggest arrest operation in years, detaining 80 Palestinians overnight -- many of them Hamas members -- Netanyahu pointed the finger of blame directly at the Islamist movement.

Australia's foreign minister will meet ambassadors angered by the country's decision to stop referring to East Jerusalem as "occupied", Prime Minister Tony Abbott said Sunday as he stressed there was "no change in policy".

Australia has been warned of possible Arab trade sanctions after last week's move, which Attorney-General George Brandis said was made because the term "occupied" carried pejorative implications and was neither appropriate or useful.

Israel holds the Palestinian Authority responsible for the safety of three teenagers who were kidnapped in the West Bank by a "terror organization", Prime Minister Benjamin Netanyahu said on Saturday.

"Our young people have been kidnapped by a terror organization... there is no doubt about that," Netanyahu told reporters in Tel Aviv as a massive manhunt for the three youngsters entered its third night.