On Continuity of Grill Topological Spaces VIA Regular Generalized G\(\omega\) - Closed Sets
Suliman Dawood *
Department of Mathematics,Faculty of Education, Hodeidah University, Hodeidah, Yemen.
Ahmed M. Al-Audhahi
Department of Mathematics, Faculty of Education and Sciences, Sheba Region University, Mareb, Yemen.
Amin Saif
Department of Mathematics, Faculty of Sciences, Taiz University, Taiz, Yemen.
*Author to whom correspondence should be addressed.
Abstract
Aims/ Objectives: In this paper, we study the continuity property in grill topological spaces via generalized G\(\omega\) -closed sets and regular generalized G\(\omega\) - closed sets. These notions are generalized G\(\omega\) - continuous functions which is weak form of g\(\omega\) - continuous functions, generalized G\(\omega\) - irresolute functions, regular generalized G\(\omega\) - continuous functions which is weak form of rg\(\omega\)continuous functions, regular generalized G\(\omega\) - irresolute functions and investigates some of its properties in grill topological spaces.
Keywords: Grill topological spaces, continuous functions