$f\omega \alpha-$Continuous Maps in Fine-Topological Spaces

Abstract

In the present paper, we have introduced a new class of continuous functions called $f\alpha g -$continuous maps, $fgp-$continuous, strongly $fg-$continuous, $fg-$closed, $f\omega \alpha -$ closed, pre-$f\alpha -$closed etc. Also we have introduced a new class of maps pre-$f\omega \alpha -$continuous, $f\omega \alpha $ -continuous maps, $f\omega \alpha -$irresolute, $f\omega $ -irresolute maps, $f\omega \alpha -$irresolute homeomorphism and studied some properties of these functions.