On a weak form of weak quasi‐continuity

A weak form of weak quasi‐continuity, which we call subweak quasi‐continuity, is introduced. It is shown that subweak quasi‐continuity is strictly weaker than weak quasi‐continuity. Subweak quasi‐continuity is used to strengthen several results in the literature concerning weak quasi‐continuity. Specifically, results concerning the graph, graph function, and restriction of a weakly quasi‐continuous function are extended slightly. Also, a result concerning weakly quasi‐continuous retractions is strengthened.