iphone 4 dead/stuck pixel ??

hello
i have new iphone 4
yesterday i noticed that there is a very very small red pixel in the middle of the screen
and its appear only with black backgrounds
after making a search i know that red pixel is stuck and black pixel is dead
i tried programs that supposed to fix this stuck pixel but its still there
its not very noticeable but whem some one pay 1200$ for something he wants it complete and working very well
my question , is this stuck pixel will be fixed by it self ??
i am hesitating to go to apple stoe and get new one because i spent 2 days installing programs and adding contacts numbers manually
but if this will not fixed by its self i must go to apple store
any body have any advice ??