Dual Topologies For the Space of MultiFunctions

Abstract

Dual topology for the function space topologies for multifunctions are introduced and investigated. It is found that a topology T on C_M(Y;Z) is splitting (resp. admissible) if and only if its dual pair is splitting (resp. admissible). Similarly, the pair is splitting (resp. admissible) if and only if its dual is splitting (resp. admissible).