Strict restrictions have been imposed in Kupwara town, Kralgund, Handwara, Magam and Langate areas in north Kashmir to maintain law and order.
Curfew remained in force in seven police station areas of the city as a precautionary measure for maintaining law and order.
Curfew and restrictions continued in Kashmir for the 29th day after fresh clashes erupted in the Valley killing three men on Friday.
Several people in the Valley complained that SMS services were working only on some network providers including BSNL. The govt had said the broadband services in hospitals and SMS services would be restored at midnight on Tuesday.
Restrictions on assembly of four or more people were in force in rest of the Valley as a precautionary measure to maintain law and order.
The incoming facility on prepaid connections has also been restored, but the outgoing calls are barred.
Mobile services were partially restored in the Valley which has been rocked by violence since July 8.
Curfew-like restrictions have been imposed and separatist leaders have been detained.
A protest shutdown called by the various separatist groups on the third death anniversary of Parliament attack convict Afzal Guru on Tuesday affected normal life in summer capital Srinagar and other towns in Kashmir Valley.
Curfew continued to remain in force in parts of the summer capital of Jammu and Kashmir on Friday as a precautionary measure but the rest of the Valley observed a shutdown in wake of the killing of a youth when security forces allegedly opened fire on Wednesday.
Geelani, chairman of hard-line Hurriyat Conference, also tried to defy the house arrest and lead a march towards the UNMOG.
Restrictions continued in parts of Srinagar city for second day on Tuesday following the death of a youth in security forces firing.
With Lone's death, the number of people killed in the unrest in the Valley, which entered the second month on Monday, reached 55, including two police personnel.
Curfew remained in force in six police station areas of the city, Anantnag town, Kokernag and Khanpora in Baramulla district as restrictions on assembly of four or more people continued in entire Kashmir.
Authorities on Thursday placed the moderate All Parties Hurriyat Conference Chairman Mirwaiz Moulvi Umar Farooq under house arrest to scuttle a rally called by the separatist group.
Barring parts of Srinagar city, Anantnag and Pampore towns, curfew was on Saturday lifted from Kashmir even as normal life remained disrupted due to the strike called by separatists.
Restrictions have been imposed in five police station areas of Srinagar, a police official said.
Ten incidents of stone pelting were reported from Srinagar, Anantnag, Pulwama, Kulgam, Shopian, Awantipora and Sopore.
The district administration has also ordered closure of all colleges and higher secondary schools in Srinagar for Monday.
A woman, who was injured when security forces opened fire in Handwara town of north Kashmir to quell a stone-pelting mob, succumbed at a hospital in Srinagar on Wednesday.
Mehbooba Mufti said that incidents like the ones at Handwara and Nathnusa are "unacceptable" and come as a major setback to the efforts of the state government in consolidating peace dividends in the state.