Do you I'll be successful if I start a business that's just like my friend's business?
That might be bad, why do you want to start an identical business to your friend's?
I want him to have some competition because of something he did to me.
If your friend has hurt you in some way, you should talk to him about it and resolve your differences. Trying to get back at him by creating competition seems petty and both of you could be hurt financially since you'll have similar businesses.
It will be fine, mine will be more successful.
Try to work this out with your friend. If you want to start your own business, try to make it unique and different so that you're not a direct competitor with your friend.