What is the ruling on a non-Mahram man shaking hands with a non-Mahram woman?

Both are sinners and deserve the punishment of hell. Faqeeh Abul Laith Samarqandiُ  ِرَحمَْﺔاﻟـﻠـﻪﻋَـﻠَﻴْﻪ said, 

The one who shakes hands with a non-Mahram woman in this world, will come on the Day of Judgment in such a state that his hands will be tied around his neck with chains of fire (Qurra-tul-‘Uyoon ma’ Raud-ul-Faaiq, p. 389)

Reference: Islamic Veil By Dawate Islami