A performative contradiction arises when the propositional content of a statement contradicts the presuppositions of asserting it. An example of a performative contradiction is the statement "this statement can't be asserted" because the very act of asserting it presupposes it can be asserted.
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The statement "Don't do as I do, do as I say" is a performative contradiction because it's assertion presupposes it being said by an asserter, rendering the two directives contradictory. The statement "Hierarchies do not exist" offers a more subtle example of performative contradiction referring to the very capacity of making a statement, because the statement itself is a hierarchy of semiotic relations of letters (as symbols) formed into words (as signifiers) formed into a sentence (as a statement).
Solipsism is often held to be a performative contradiction if stated. Jürgen Habermas, Hans-Hermann Hoppe and related philosophers point out that statements spoken during justificatory argumentation carry additional presuppositions and so certain statements are performative contradictions in this context. Habermas claims that post-modernism's epistemological relativism suffers from a performative contradiction.