Upvote:1
I can't name the doctrine exactly, but I can confirm that in Orthodox Christianity, there is a belief that "our own spiritual failures and lack of love are the cause of our neighbor's shortcomings."
"But whoever causes one of these little ones who believe in Me to stumble, it would be better for him if a millstone were hung around his neck, and he were thrown into the sea." (Mark 9:42 NKJV)
"This is a faithful saying and worthy of all acceptance, that Christ Jesus came into the world to save sinners, of whom I am chief." (I Timothy 1:15 NKJV) During the Divine Liturgy, all the people repeat that saying, each one identifying ourselves as the chief of sinners.
During the Divine Liturgy, we also pray for the salvation of all mankind. St. Seraphim of Sarov said "Find peace in your own heart, and a thousand around you will be saved." It works both ways.