Kilij Arslan lived two years longer, finally under the protection of his youngest son, Kaikhosrau, who held the capital after him (till 1199) until his elder brother, Rukneddin Suleiman, after having vanquished his other brothers, ascended the throne and obliged Kaikhosrau to seek refuge at the Greek emperor's court.
Dying in 1245, the joint government of his three sons gave occasion to fresh inroads, till one of them died and Hulagu divided the empire between the other two, Izz ed-din (Kaikaus II.) ruling the districts west of the Halys, and Rukneddin (Kilij Arslan IV.) the eastern provinces (1259).
Rukneddin was only a nominal ruler, the real power being in the hands of his minister, Mu - in ed-din Suleiman, who in 1267 procured an order of the Mongol Khan Abaka for his execution.