After studying the Fatwa request and the document, the Committee answered:
This is a one time divorce in return for renouncing the claims of the wife's representative - her brother - against her husband to obtain Nafaqah and the like.
Since it is a divorce for a consideration, therefore it is considered an irrevocable divorce because the husband made the divorce conditional on the consideration. It is also considered Khul` (divorce at the request of the wife in return for compensation to the husband) because it is a divorce in return for a consideration. Consequently, if this is not the third time of divorce, it is permissible for the husband to take her back in marriage by concluding a new marriage contract and fulfilling its conditions along with obtaining her consent. If it is the third time of divorce, it is unlawful for her to return to him in marriage unless she marries another man. (Part No. 19; Page No. 402) May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.