What is the ruling regarding a husband remaining with his wife who communicates with foreign men and engages in masturbation with them via communication programs, knowing that he had previously divorced her with a revocable pronouncement, and she is now requesting a divorce, but he does not want to deprive his children of her?

If the wife has done what was mentioned—communicating with non-mahrams and sending her pictures to them—then she has acted wrongly and committed reprehensible acts, and she must make sincere repentance. If she repents and becomes righteous, then keep her and treat her well, and strive to educate her and teach her about her religion and connect her with goodness. But if she persists in her deviation, then divorcing her is legally required, and the husband has the right to refuse to divorce her until she ransoms herself from him. The family should be a support for the couple in stabilizing their marital life.