Libertarian socialism is an anti-authoritarian and anti-capitalist political current that emphasises self-governance and workers’ self-management. It is contrasted from other forms of socialism by its rejection of state ownership and from other forms of libertarianism by its rejection of private property. Broadly defined, it includes schools of both anarchism and Marxism, as well as other tendencies that oppose the state and capitalism.
The oxymoron “Libertarian Capitalism” is an propagandistic rebranding of landlord feudalism, engineered by a right-wing grifter who thought Adam Smith was a pinko commie.