Dead pixels are black because they don't light up. Stuck pixels are "stuck" one color, like you've posted. While a dead pixel cannot be fixed because the liquid underneath the screen is useless, it is possible to fix a stuck pixel.

There are two methods to do this. One (which I would not really recommend except as a last resort) is to get a damp cloth and apply pressure at the exact location of the stuck pixel and nowhere else. While doing this turn on the monitor and it is possible that the light source underneath the LCD will "unstick" the pixel.

The other method, which I would recommend and is safer, is to flash the monitor with a video of the RGB colors. There's a program called <a href="http://sourceforge.net/projects/stucksweep">Stuck Pixel Sweeper</a> that does just that. You can try it out and see how it works.