Not exactly two guys fighting each other, but it's more like one of them likes her and thinks she loves the other guy and gets upset, but eventually both guys fall for each other haha. It's still super cute regardless!! Totally recommend http://www.mangago.zone/read-manga/faded_first_love/
YESSSS read faded first love, it is amazing!!!!!
Not exactly as what you described but try: http://www.mangago.zone/read-manga/ao_no_flag/
Is there any story where 2 guys try to fight for a girl but in the end they end up (the 2 boys) Loving/falling for each other?