Is it permissible for a woman to travel in an elevator alone with a non-mahram man?
Question

                It allowed to go in a lift if there is a man who is a non mahram in it?(ie if there are just the two of you) Is there a separate ruling for open and closed lifts which have doors?.
Praise be to Allah.
    Allaah has forbidden a man to be alone with a woman who is 
    not his mahram. The Prophet  (peace and blessings of Allaah be upon him) 
    said: “No man is alone with a woman but the shaytaan is the third one 
    present.” Narrated by al-Tirmidhi (1171); classed as saheeh by al-Albaani in
    Saheeh al-Tirmidhi. 

    Al-Bukhaari (1862) and Muslim (1341) narrated that the 
    Prophet  (peace and blessings of Allaah be upon him) said: “No man 
    should be alone with a woman unless her mahram is with her.” 

    Al-Nawawi (may Allaah have mercy on him) narrated in Sharh 
    Muslim (14/153) that there is scholarly consensus that it is haraam for 
    a man to be alone with a non-mahram woman. This was also mentioned by 
    al-Haafiz in al-Fath (4/77). 

    What is meant by a man being alone with a woman is that they 
    are alone together in a place with no one else present. 

    This meaning applies when a woman travels in an elevator with 
    a man who is not her mahram and there is no one else with them, whether it 
    is open or closed. 

    Based on that, it is not permissible for a woman to travel in 
    an elevator on her own with a non-mahram man. If there is one or more other 
    women with her, then there is nothing wrong with her travelling on the 
    elevator in that case, because then she is not alone with the man. 

    If there are both men and women with her, there is nothing 
    wrong with her travelling on it if the elevator is spacious, and she will 
    not be forced to touch or rub against the men. But in this case it is safer 
    for the Muslim woman to walk up the stairs, and seek reward with Allaah for 
    the difficulty that she encounters by doing that, because she is only doing 
    that so as to avoid that which Allaah has forbidden and to avoid fitnah and 
    its causes. 

    And Allaah knows best.