\theta-SOMEWHAT NEARLY-OPEN SETS AND \theta-SOMEWHAT NEARLY-

In this paper, a new class of open set called -somewhat nearly-open set is introduced and studied.We then investigate its relation to other wellknown types of open sets such as the classical open, -open, somewhat-open, and somewhat nearly-open sets in a topological space.Moreover, some characterizations of the notions of -somewhat nearly-continuous and strongly -somewhat nearlycontinuous functions from an arbitrary topological space into the product space are obtained.