Abstract
Continuity, in particular sequential continuity, is an important subject
of investigation not only in Topology, but also in some other branches
of Mathematics. Connor and Grosse-Erdmann remodeled its definition for
real functions by replacing {\sf lim} with an arbitrary
linear functional $G$ defined on a linear subspace of the vector space
of all real sequences. Then, this definition was extended to a
topological group $X$ by replacing a linear functional $G$ with an
arbitrary additive function defined on a subgroup of the group of all
$X$-valued sequences. Also, some new theorems in generalized setting
were given and some other theorems that had not been obtained for real
functions were presented. In this study, we introduce neutrosophic
$G$-continuity and investigate its properties in neutrosophic
topological spaces.