His wife admitted to him that his children were from another man; what should he do?
Question

                my ex-wife after I divorced her revealed to me and affirmed more than 3 times that the I did not father the kids with her and named another man which was done via skype messenger / handwritten / documented for whoever wants to see proof. When the 2 boys were born they were not attributed to me neither by name or registration and Iothers challenged her continuously to get it changed whilst we were married but she avoided it, she also has two other children from a previous marriage and their father is attributed to them via birth and registration, she has never lied to me before, She has accused herself / admitted to zina. Does Li’ aan apply?, Do these children have any rights over me? Do I reject them? I live far from them and haven’t seen or spoke to them since the divorce, her admission was done outside of marriage & not under duress. Shall I just leave the situation as it is? I do not know whether the children are mine for sure because of all the facts and doubts that she has brought upon them. We haven’t communicated since she made the revelation. Is this a doubtful matter and best to avoid? Please advise.
Praise be to Allah.Islamic 
    teaching pays a great deal of attention to the issue of lineage or 
    confirmation of paternity; it accepts the confirmation of paternity on the 
    basis of the slightest evidence whilst it sets out stringent conditions for 
    allowing denial of paternity. 
It says in
    al-Muhadhdhab by ash-Shiraazi (3/84): The husband’s paternity should 
    be accepted and confirmed if a woman produces a child that may or may not be 
    the husband’s, on the basis that precedence should be given to confirming 
    paternity rather than denying it.
End 
    quote. 
The 
    teachings of Islam rule that the child belongs to the husband, as is 
    indicated by the words of the Prophet (blessings and peace of Allah be upon 
    him): “The child is for the (owner of the) bed (i.e., the husband) and the 
    fornicator gets nothing.” Narrated by al-Bukhaari (2053), Muslim (1457) 
Based on 
    that, these children to whom your wife gave birth when she was married to 
    you are your children and are to be attributed to you, and that is not to be 
    denied merely on the basis of this claim of their mother’s. 
With 
    regard to the question of whether li‘aan is required, you are not obliged to 
    engage in li‘aan in order to deny that they are your children. But if you 
    think it most likely that the woman is telling the truth, then it is 
    permissible for you to deny that they are your children by engaging in 
    li‘aan, and it is permissible for you to refrain from engaging in li‘aan and 
    to attribute them to yourself, based on the words of the Prophet (blessings 
    and peace of Allah be upon him): “The child is for the (owner of the) bed 
    (the husband)”. 
It says in 
    Fataawa al-Lajnah ad-Daa’imah (20/339): If a married woman commits zina and 
    becomes pregnant – then the child is to attributed to the (owner) of the bed 
    – i.e., the husband, because of the saheeh hadeeth. If the owner of the bed 
    wants to deny the child by means of li‘aan, he may do so in front of the 
    sharee‘ah court. End quote. 
And Allah 
    knows best.