Kevin Costner stepped out with a mystery woman in Los Angeles this week, fueling fresh buzz about his love life.

Paul Archuleta/FilmMagic Financier Josh Connor is only a friend to Christine Costner, her lawyer said in court Thursday as her divorce proceedings with estranged husband Kevin Costner continue.

Actor Kevin Costner stepped out for a possible lunch date with a "mystery woman" in Los Angeles on Monday. Costner, 70, whose ...