The One (2001).

2001 , Action , Sci-Fi , Thriller ,

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Info : 

A sheriff's deputy fights an alternate universe version of himself who grows stronger with each alternate self he kills.

Info: http://www.imdb.com/title/tt0267804/
Release Date: 2 November 2001 (USA)
Genre: Action | Sci-Fi | Thriller
Stars: Jet Li, Carla Gugino, Delroy Lindo