One way of dealing with resistance would be to work out a compromise. With many situations, some sort of compromise needs to come into affect in order to make things fair for both parties. Being flexible with your request will allow for greater chance of acceptance, as it will come off less like a demand. Adjusting your request to fit the ideas and point of view of the person being persuaded will show respect, and that you are accommodating to others views. Also allowing the sense of “ownership” of the idea will increase the chance of acceptance of the proposal, as many people are more willing to accept an idea if they have some input in it.
Be sure the compromise is fair, and not misleading.