mysql LIKE在一列中的两个单词之内

I have mysql table with column "name", where is name writen in format First Last (so it's merged). I need to search init (using %LIKE% propably), but I need to find similarities just by first letters in each word. Normally, I would use just LIKE%, but it will search just in first name, not in last name... I have mysql table with column "name", where is