This paper studies how to coordinate supply chains with buy-back contracts, where a mild inequity-averse retailer takes the inequity-averse utility function as its decision criterion. For different contract parameters, the paper analyzes their effects on the fairness and optimal ordering decisions of the retailer. The paper proposes coordinative buy-back contracts and present numerical examples to show our findings. Results indicate that there are two types of coordinative buy-back contracts. The first is the same as buy-back contract pricing rule of coordinating the supply chain with a neutral retailer, where the range of buy-back price is only related to the extent of disadvantageous inequality-aversion. The second can always achieve equitable division of channel profits, which is dependent on the demand distribution and the ratio of fair profit distribution.