Semi Star Generalized w - Continuity in Topological Spaces

Hdeib [8] and Levine [10] introduced the notions of $w$-closed set and generalized closed set, respectively in 1982 and 1970. K. Chandrasekhara Rao and K. Joseph [3]introduced the concepts of semi star generalized open sets {named omega-open set in [11] and $g^\wedge$-open in [12]} and semi star generalized closed sets {named omega-closed set in [11] and $g^\wedge$-closed in [12]} in topological spaces. Semi star generalized $w$-closed sets, semi star generalized $w$-open sets and $s^*gw-T_{\frac{1}{2}}$-spaces were introduced by K. Chandrasekhara Rao and D. Narasimhan [4] and studied their basic properties in topological spaces. The aim of this paper is to introduce the concepts of semi star generalized $w$-continuity and study their basic properties in topological spaces.