This is what I used for my fixing of my pixels -
Be careful with this method for it could cause you to cause more damage to your monitor.
1 -Turn on the computer and LCD screen.
2 - Display a black image, which will show the stuck pixel very clearly against the background. (It is very important that you are showing a black image and not just a blank signal, as you need the backlighting of the LCD to be illuminating the back of the panel).
3 -Find a pen with a rounded end. A Sharpie marker with the cap on should be fine for this.
4 - Use the rounded end of the pen to gently tap where the stuck pixel is - not too hard to start with, just enough to see a quick white glow under the point of contact. If you didn't see a white glow, then you didn't tap hard enough, so use just slightly more pressure this time.
5 -Start tapping gently. Increase the pressure on the taps gradually for 5-10 taps until the pixel rights itself.
6 - Display a white image (an empty text document, or sending your browser to about:blank and going to fullscreen with F11 is good for this) to verify that you haven't accidentally caused more damage than you fixed.
The reason behind this is because something could be blocking the crystals in the monitor to be flowing into that one area. So applying pressure to it, may allow the crystals to flow into it.
DON'T BREAK YOUR MONITOR!