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.
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