What is the solution for a committed young woman who suffers from the problem of "zina of the eye" (looking at forbidden things) and strives to overcome it, even staying up late to avoid watching television that broadcasts tempting material?

Your friend must repent to Allah and stop looking at what is forbidden, in compliance with the words of Allah Almighty: "Tell the believing men to reduce [some] of their vision and guard their private parts," and the words of the Prophet, peace and blessings of Allah be upon him: "The adultery of the eyes is gazing." What will help her with this is: striving against herself by refraining from watching television if possible, keeping company with righteous women, attending gatherings of remembrance and knowledge, occupying her time with what is beneficial, and supplicating and resorting to Allah.