Fuji S7000 Time-out issue

My camera will just shut itself down without warning, after a few seconds. I have switched the time-out setting to 2 minutes , to 5 minutes and to the off position and it still shuts down erratically, even with new batteries. I have tried cleaning the battery contacts, thinking that perhaps that's the problem, but it doesn't seem to help. I'm thinking that it may be a timer, but I don't know what it will entail to fix it. There's norhtin else wrong with the camera and I've had it three years and would like to use it for several more. If you have any answers, please let me know.