Claudia Sheinbaum has been elected as Mexico’s first woman president in an historic landslide win.

Mexico’s official electoral authority said preliminary results showed the 61-year-old former mayor of Mexico City winning between 58% and 60% of the vote in Sunday’s election.

That gives her a lead of almost 30 percentage points over her main rival, businesswoman Xóchitl Gálvez.

Ms Sheinbaum will replace her mentor, outgoing President Andrés Manuel López Obrador, on 1 October.

Ms Sheinbaum, a former energy scientist, has promised continuity, saying that she will continue to build on the “advances” made by Mr López Obrador.

In her victory speech, she told voters: “I won’t fail you.”

Her supporters are celebrating at the Zócalo, Mexico City’s main square, waving banners reading “Claudia Sheinbaum, president”.