• Kyungpook Mathematical Journal
• /
• v.45 no.2
• /
• pp.221-230
• /
• 2005

In this paper, we define a multifunction $F:X{\rightarrow}Y$ to be upper (lower) Z -supercontinuous if $F^{+}(V)(F^{-}(V))$ is z-open in X for every open set V of Y. We obtain some characterizations and several properties concerning upper (lower) Z-supercontinuous multifunctions.