On continuity of the generalized inverse AT, S(2)

This paper studies the continuity of the generalized inverse A"T","S^(^2^). Since common important generalized inverses, such as A^+, A"M","N^+, A"d, A^#, A"d","w, A"("L")^(^-^1^) and A"("L")^(^+^) etc. are all generalized inverse A"T","S^(^2^). In fact, we give a unified continuity of such important generalized inverses.