In this paper a Matejdes theorem on quasicontinuous selection is extended to the case of upper Baire continuous set valued mappings with nonempty compact values \(T:X\rightarrow 2^{Y}\), where \(X\) is an arbitrary topological space and \(Y\) a regular \(T_{1}\) space. Moreover, the authors prove a quasicontinuous selection theorem for strongly injective upper semicontinuous set-valued mappings with nonempty closed values.