In general, anarcho-capitalism is not considered anarchism. However, like anarchists, anarcho-capitalists say they are against the whole idea of hierarchy.  Anarcho-capitalists do not define hierarchy as something that exists when one person is simply seen as being more important than another person.  Anarcho-capitalist believe hierarchy exists only when a person is given the authority to use force against a nonviolent person or that person's legitimate property.  Only when "no one" is allowed to use force against nonviolent people or their legitimate property are people truly equal.  They think that only then is hierarchy no more.