how to urn off app messages on my lockscreen

Hi everyone,

since a few days i have an Iphone 5S (my first Iphone ever). I downloaded a free game from the appstore (tetris) but now everyday i get these messages on my lockscreen (the screen that opens after my Iphone was in sleep mode and where it says >slide to unlock, how and where do i turn of these annoying messages so that they do not longer appear on the lock screen?

Thanks for helping out