First recorded by Dionne Warwick (1985).
Hit version by Anita Baker (US #44/MOR #9/R&B #5 1987).
From the wiki: “‘No One in the World’ was written by Marti Sharon and Ken Hirsch, and was first recorded by Dionne Warwick (and produced by Barry Manilow) for her 1985 album Finders of Lost Love and again on her 1987 album, Reservations for Two.”
“Anita Baker covered ‘No One in the World’ for her Rapture album, released in 1987. Released as the fourth promotional single from the album, ‘No One in the World’ would peak at #44 on the Billboard Hot 100 but chart Top-10 on the Adult Contemporary and R&B charts.”
Anita Baker, “No One in the World” (1987):