On almost and weak forms of nearly continuous multifunctions

Abstract

Recently the classes of nearly continuous multifunctions and almost nearly continuous multifunctions have been introduced. The aim of this paper is to introduce new characterizations of almost nearly continuous multifunctions. Moreover, a new class of multifunctions called weak nearly continuous multifunctions is introduced. Also properties of weak nearly continuous multifunctions and relationships among nearly continuous multifunctions, almost nearly continuous multifunctions and weak nearly continuous multifunctions are investigated.