On S-Subcontinuous multifunctions

Abstract

          In this paper we introduce a new concept, namely the  s-subcontinuity for multifunction as a generalization of subcontinuity.  We characterize s-compact preserving  multifunctions in terms of s-subcontinuity.  Conditions implying upper s-semi continuity  for multifunction are derived.  

    Several new characterizations for upper s- semi-continuity and lower s- semi continuity are obtained using filterbasis. Furthermore we obtain some results on multifunction with s-closed graphs.