都有
challenge for 的英文意思是to invite someone to compete or fight against you,or to try to win something
challenge of 的英文意思是something that tests strength,skill,or ability,especially in a way that is interesting
我觉得用英文解释比中文更好些
给个例句吧
The company is ready to meet the challenges of the next few years.
They are ready to mount a challenge for the championship.