Almost nearly continuous multifunctions

Erdal Ekici has introduced and studied nearly continuous multifunction [Acta Math. Univ. Comenianae, Vol. LXXII, 2 (2003), pp. 1-7]. The purpose of the present paper is to introduce and study upper and lower almost nearly continuous multifunctions as a weaker form of upper and lower nearly continuous multifunction. Basic characterizations, several properties of upper and lower almost nearly continuous multifunctions are investigated.