I agree with what Alvin and others have suggested: the flashing on the LCD is a FEATURE, not a problem, and it's designed to tell you that you've "blown out" (that is, overexposed to the point of destroying completely) some area of the picture. But to corroborate this for yourself, look at the histogram. I'm almost certain that this picture's histogram will show at least some info jammed up against the right side - meaning blown-out highlights. That part of the graph that's jammed up at the right side of the photo is telling you the same thing that the "bright portion" flashing was telling you.
I'm going to guess that you're not seeing it already, so, to turn it on in review mode so that it appears floating over the photo, do this:
1. Click Menu button
2. Use right or left arrows on the selector to go to the Playback "tab"
3. Go down to Plybk dsply mthd, then over to the right.
4. Select "Date Style" then go right to see the options list
5. Go down to Histogram and click OK button
6. Hit Menu button again twice to save and exit
By the way, that's the same menu area that Alvin told you to go to to turn BRIGHT PORTION off.
Here's
an article on the histogram that's pretty good from Luminous Landscape, one of the excellent photography sites on the web.
Will