Is it permissible for a woman who has been revocably divorced to set conditions for her husband for her to return to him? And does this require a new marriage contract?

If a man divorces his wife with a revocable divorce, he may take her back as long as she is within her waiting period (iddah (definition)) without the need for a new contract. The permissibility of revocation (raj'ah) has been established by the Qur'an, Sunnah (definition), and scholarly consensus, such as His (Allah's) saying: "And their husbands have more right to take them back in that [period] if they wish reconciliation," and the Prophet's (peace be upon him) taking back Hafsa after divorcing her, and the consensus of jurists on the permissibility of revocation with its conditions.