I had the same problem with my rear passenger side window. Assuming the switches are the same (i'm pretty sure they are) you should be able to just pop the switch out by pulling on it, then unclip it and look inside. it's a simple design, with 2 plastic posts inside. when you press up, one of those posts presses down a strip of metal that puts current to the motor to move the window up, and the other does down. if this current is maintained for a while, the metal heats up and can melt the end of that plastic post, as a drunk mate in my back seat discovered . you can either replace the switch or fabricate a new post. to get the switch from mazda here in Oz was $126AUS!!!!! go to a wreckers or make a new post.
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