A way of life that focuses on an absence of cocercion in all interactions, relationships, and trade.
This word is more clearly a distinction without a difference than most of the others discussed on Many Flavors One Anarchism.
"Anarcho": No rulers.
"Capitalism": Absence of coercion in relationships, trade, and property.
If you think about it we just said the same exact thing twice. To not have rulers is to be free from the coercion of people trying to rule you. If you have none of those then all of your relationships, trade, and property will lack coercion (capitalism). And if all your relationships, trade, and property are free from coercion then you have no rulers (anarchism)
Capitalism is another word that has been historically used differently by the left, communists, and many others. See: capitalism for some examples and a discussion.