SOME NEW CLASS OF FUNCTIONS VIA δgˆ -SETS

Abstract

In this paper we introduce a new class of functions called δgˆ -closed maps. We obtain several characterizations and some their properties. We also investigate its relationship with other types of functions. Further we introduce and study a new class of functions namely weaker forms of δgˆ -closed maps.

Keywords and Phrases: δgˆ -closed sets, δgˆ -continuous, δgˆ -closed maps, δgˆ -regular, αgˆ-closed sets.

AMS subject classification: 54C05, 54C10