Justin Bieber not giving up on Selena Gomez

Los Angeles: Teen sensation Justin Bieber has reportedly vowed to "not give up" on his relationship with Selena Gomez.

The couple reportedly split up last week after going public with their relationship in February 2011.

According to tmz.com, Bieber, 18, is determined to make the relationship work despite the couple`s busy schedules.

A source close to Bieber said the rumours that the singer is involved with 19-year-old Victoria`s Secret model Barbara Palvin are untrue.

He is also allegedly keen to to get back with Gomez, as they have apparently broken up several times before only to reunite.

Neither Bieber nor Gomez have come out to publicly confirm or deny the split reports.

Last month, though, Bieber seemed to hint at a split when he posted a black-and-white photo of himself with the caption `Lingse` - an anagram of `Single` - on Instagram.