%0 Journal Article %T Semicontinuous set valued mappings and connected sets %A Immacolata Del Prete %A Margherita Di Iorio %J Le Matematiche %D 1991 %I University of Catania %X In this paper is studied a condition, called P-continuity, which can be viewed as minimal in order that a set valued mapping be connected. Moreover for families of functions are considered notions of convergence which preserve P-semicontinuity. Other results connected with the notion of semiconnected multifunction are obtained. %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/647