Iraqi forces fought their way into jihadist-held Mosul on Tuesday as a top commander said the "true liberation" of the city from the Islamic State group had begun.

Just over two weeks into the massive offensive to retake Mosul -- IS's last major stronghold in Iraq -- the army said its forces had managed to push within city limits.

Troops had "entered the Judaidat Al-Mufti area, within the left bank of the city of Mosul," the Joint Operations Command said in a statement.

Mosul is split by the Tigris River, with the eastern half of the city known as the left bank. Judaidat al-Mufti is on the southeastern side of the city.

Elite Iraqi forces had also recaptured the key village of Gogjali and taken control of a television station building on the eastern edge of the city.

Fighters from the US-trained Counter-Terrorism Service (CTS) had pushed into the area amid heavy fighting on the eastern front over the past two days.

"Now is the beginning of the true liberation of the city of Mosul," Staff General Taleb Sheghati al-Kenani, the commander of CTS, told Iraqiya state television from Gogjali.

Backed by air and ground support from a US-led coalition, tens of thousands of Iraqi fighters are converging on Mosul.

Since the offensive was launched on October 17, federal forces and Kurdish peshmerga fighters have retaken a series of villages as they advance on the city from the north, east and south.

As his forces advanced, Iraqi Prime Minister Haider al-Abadi warned the jihadists they would have no place to run.

"We will close in on (IS) from every place," he said on state television on Monday, dressed in a camouflage uniform.

- 'Die or surrender' -

"They don't have an exit, they don't have an escape, they can only surrender -- they can die or they can surrender," Abadi said.

Some 4,000 to 7,000 jihadists are believed to be in and around Mosul, where IS chief Abu Bakr al-Baghdadi declared the group's cross-border "caliphate" after the group seized control of large parts of Iraq and neighbouring Syria two years ago.

For now the jihadists do have an escape route -- to the west towards IS-controlled territory in neighbouring Syria.

Paramilitary forces from the Hashed al-Shaabi (Popular Mobilisation), an umbrella organisation dominated by Iran-backed Shiite militia, launched an assault at the weekend to cut off that route.

They have been advancing north, their sights set on the town of Tal Afar which commands the city's western approaches.

On the northern and eastern sides of Mosul, peshmerga forces from the autonomous Kurdish region have taken a series of villages and towns and consolidated their positions.

To the south, federal forces, backed by coalition artillery units stationed in the main staging base of Qayyarah, have been pushing north.

They have the most ground to cover and are still some distance from the southern limits of Mosul.

Iraqi forces are expected to try to open safe corridors for the million-plus civilians still believed to be inside.

Humanitarian organisations have been fighting against the clock to build up the capacity to handle the possible mass exodus from the city.

The United Nations says up to a million people could be displaced in the coming weeks.

More than 17,900 people have already fled their homes since the operation began, according to the International Organisation for Migration.

IS has been losing ground steadily in Iraq since 2015 and the outcome of the Mosul battle is in little doubt, but commanders have warned it could last months.

If the city is retaken, only Raqa in Syria will remain as the last major city under the jihadists' control.

Cities, towns and territory retaken from IS
Beirut (AFP) Nov 1, 2016 - Iraqi forces fought their way into jihadist-held Mosul on Tuesday, the military said, as a top commander declared the "true liberation" of the city from the Islamic State group had begun.

Since IS seized swathes of Syria and Iraq in mid-2014, it has been pushed back by armed groups including US-backed Kurdish fighters, Iraqi and Syrian government forces.

Here is a recap of key cities, towns and territory IS has lost in recent months:

- Syria -

KOBANE: A Kurdish town in northern Syria, Kobane became a symbol of the fight against IS. The jihadists were driven out by US-backed Kurdish forces in January 2015 after more than four months of fierce fighting.

TAL ABYAD: Another town on the Turkish border, Tal Abyad was captured by Kurdish and Arab rebels in June 2015. The town was the gateway to a key supply route between Turkey and IS's Syrian stronghold, Raqa. Jihadist fighters and weapons regularly passed through the town before its recapture.

PALMYRA: IS seized the ancient town of Palmyra in May 2015. It blew up UNESCO-listed Roman-era temples and looted ancient relics. Syrian regime forces backed by Russian warplanes and allied militia ousted the jihadists in March this year.

MANBIJ: On August 6, a coalition of Arab and Kurdish fighters backed by US air strikes recaptured Manbij following a two-month battle. IS had seized the town in 2014 and used it as a hub for moving jihadists to and from Europe. It also controlled a key supply route for the group.

JARABULUS: Turkish troops and Syrian rebels swept almost unopposed into the border town of Jarabulus on August 24 during Operation Euphrates Shield, which also targets Kurdish militia.

SYRIAN/TURKEY BORDER: On September 4, Turkish troops and allied rebel fighters drove IS from its last positions along the border, making it harder for foreign jihadists to reach the group's Syrian and Iraqi strongholds.

DABIQ: Syrian rebels backed by Turkish warplanes and artillery captured Dabiq on Sunday. The town, under IS control since August 2014, has crucial ideological significance for the jihadists because of a prophecy that Christian and Muslim forces will wage battle there at the end of times.

- Iraq -

TIKRIT: The hometown of late Iraqi dictator Saddam Hussein north of Baghdad, it fell to IS in June 2014, soon after Mosul. It was declared liberated in March 2015 in an operation by Iraqi troops, police and Shiite-dominated paramilitaries.

SINJAR: Iraqi Kurdish forces backed by US-led coalition air strikes recaptured Sinjar, northwest of Baghdad, in November 2015. That cut a key supply line linking areas held by the jihadists in Iraq and Syria. IS had captured Sinjar in August 2014 and pursued a brutal campaign of massacres, enslavement and rape against its Yazidi minority.

RAMADI: The capital of Anbar, Iraq's largest province that stretches from the borders with Syria, Jordan and Saudi Arabia to the western approach to Baghdad. Ramadi was declared fully recaptured in February, about nine months after IS seized it.

FALLUJAH: Anbar province's second city and an emblematic bastion for IS, close to the capital. It fell to anti-government fighters in 2014 and became a key IS stronghold. Iraqi forces recaptured it in June this year.

QAYYARAH: Iraqi forces backed by coalition aircraft retook Qayyarah from IS in August, providing Baghdad with a platform for its assault on Mosul, Iraq's second city.

SHARQAT: Iraqi forces announced on September 22 that they had recaptured Sharqat, an IS-held town south of Mosul. The town is near key supply lines the army needs for the battle to retake Mosul.

QARAQOSH: On October 18 hundreds of displaced Iraqi Christians danced and sang to celebrate the Iraqi military's retaking of Qaraqosh, 15 kilometres (10 miles) southeast of Mosul.

MOSUL: Just over two weeks into the massive offensive to retake Mosul -- IS's last major stronghold in Iraq -- the Iraqi army said on November 1 that its forces had managed to push within city limits, entering the Judaidat Al-Mufti area.