Someone asked me if praying the Jesus Prayer:
is part of Name-Worshiping or Name-Glorification.
Certainly, this prayer, which has been prayed by early Christians from biblical times, is good for one's salvation. When prayed properly, the focus is on Jesus as the Son of God. It begs for His mercy and humbly acknowledges one's sinful condition. However, it is always best to seek the advice of one's spiritual father because praying this prayer incorrectly can lead to prelest (pride), with the dangerous thinking that one is superior to one's spiritual father, and then in that state of demonic pride, one can easily fall into heresy and/or schism.
The problem lies not with praying the Jesus prayer, but with focusing on the Name as in "There is Power in that Name." Worse is the Protestant/Catholic Charismatic push to Name it and Claim it. "In the Name of Jesus, I declare you healed of arthritis [or whatever else ails you]." or "Oh, there is Power in the Holy Name of Jesus, if you would only believe." This puts the guilt of not being healed on the person asking for prayers, so she will say publicly, 'I am being healed, and I am healed. Thank you Jesus." However, as often happens, if she walks away unhealed, then she might feel so embarrassed and guilty for her own lack of faith that she might not step again into that church. What a way to put a guilt trip on someone and turn them against the Lord Jesus!
These people seeking healing are not cautioned that sometimes the Lord sends people crosses in the form of an illness, and that illness, if they accept it will lead to their salvation.
I remember the father of a priest who was dying of ALS. The dad asked his priest-son to pray for healing, and the priest did, often anointing his father, but his dad did not improve. Finally, in the end stages of this disease when his dad was struggling to breathe, he asked his priest-son not to pray for his physical healing but to pray for his spiritual healing and salvation instead. He confessed to his son that this illness had brought him back into the Orthodox Church, and shortly after saying this, he reposed in Lord with no more pain, no more suffering, but joy in the Risen Lord. As I recall, he died during Bright Week, the week which immediately follows the Great Pascha of the Lord.
Christ is Born! Glorify Him.
So, I urge you to pray the Jesus Prayer with simplicity of heart, trusting in the Lord that He will save you.