TBILISI, GEORGIA — Opposition protesters in Georgia’s breakaway province of Abkhazia have refused to cede control of key government buildings that demonstrators stormed to protest new measures allowing Russians to buy property in the area.

Abkhazian President Aslan Bzhania announced Saturday that he would step down and hold early elections if demonstrators vacated the region’s parliament building. But crowds that gathered in the Abkhazian capital, Sukhumi, rejected the deal, and opposition leaders said they would accept only Bzhania’s unconditional resignation.

“None of us have come here for the sake of seats [in parliament],” former Abkhazian Prime Minister Valery Bganba told the crowd in a video livestreamed on social media. “We came here to save our people, our country.”

At least 14 people were injured Friday when opposition protesters clashed with police, Russian state news outlet RIA Novosti reported.

Lawmakers had gathered at the region’s parliament building to discuss ratifying measures allowing Russian citizens to buy property in the breakaway state. However, the session was postponed because demonstrators broke through the gate to the building’s grounds with a truck and streamed inside. Some threw rocks at police, who responded with tear gas.

Most of Abkhazia broke away from Georgia in fighting that ended in 1993, and Georgia lost control of the rest of the territory in a short war with Russia in 2008. Russia recognizes Abkhazia as an independent country, but many Abkhazians are concerned that the region of about 245,000 people is a client state of Moscow.

Opponents of the property agreement say it will drive up prices of apartments and boost Moscow’s dominance in the region. Abkhazia’s mountains and Black Sea beaches make it a popular destination for Russian tourists, and the demand for holiday homes could be strong.

The arrest of five opposition figures at a similar demonstration Monday set off wide protests the next day in which bridges leading to Sukhumi were blocked.