Some applications of generalized open sets via operations

This paper introduces the concept of an operation on tau_g. Using this operation, we define the concept of g-gamma-open sets, and study some of their related notions. Also, we introduce the concept of g gamma-generalized closed sets and then investigate some of its properties. Furthermore, we introduce and investigate g-gamma-T_i spaces (i in {0,1/2, 1, 2) and g-(gamma,beta)-continuous functions by utilizing the operation gamma on tau_g. Finally, some basic properties of functions with g-beta-closed graphs have been obtained.