I think in the broadest sense, they mean ending private control of capital. This means that instead of capital being mostly in the hands of a few (the rich, or

I think in the broadest sense, they mean ending private control of capital. This means that instead of capital being mostly in the hands of a few (the rich, or the state, in the case of something like China) they want it to be in the control of the people. This would mean that basically the people would control capital democratically, in most cases, but there are other systems like Mutualism which isn't necessarily democratic. For many, they may want to end markets as well, for various reasons, but markets aren't the same thing as capitalism, as you seem to think.