What is the ruling on the oaths sworn by the husband to his wife to exonerate himself from speaking to women, while intending to be deceptive in his oaths, and does an expiation of an oath become binding upon him?

As long as this person is repentant, there is no blame upon him for what he did in using equivocations in his oath to his wife. In this situation, he is not a liar, and nothing is required of him. He should continue in his repentance and not return to any of those sinful relationships.