Even if it does not look like it is charging and even though it may be fully charged charge it using a different wall outlet than you normally do (a different room is best) for at least 10 minutes.
Do not skip that even if it is fully charged from you already plugging it in, it is important to do it.
It sounds like the firmware may be frozen try this and let me know the results hold the power switch for at least 60 seconds.
Try this at least 6 times.
The firmware can sometimes get frozen the same way that a computer will occasionally.
Tried your solution. Still having problems. Charging light comes on but then goes off again, even after re-booting. tried plugging into a different socket and different room. Have re-booted well over 6 times. Any other suggestions?
the kindle is about 1 year old. Yes the port does feel slightly loose. I /9bought a new cable just in case that was the problem.
not sure. Also. I am a heavy user, I use it for several hours each day.