Here "the way" refers to the way of righteousness. A person who stops doing what is right is spoken of as if he has stopped walking on the correct path. Alternate translation: "anyone who stops living rightly" (See: [[rc://en/ta/man/translate/figs-metaphor]])
The word "correction" can be translated as a verb. Alternate translation: "the person who hates it when others correct him" (See: [[rc://en/ta/man/translate/figs-abstractnouns]])