Abstract
In this study, we generalized two known open sets called semi-open and h-open sets to find a new type called semi-h-open set in topological space We have presented the relationship of several famous open sets to this set. We have also studied the semi-h-open continuity in topological space. In this study, we generalized two known open sets called semi-open and h-open sets to find a new type called semi-h-open set in topological space We have presented the relationship of several famous open sets to this set. We have also studied the semi-h-open continuity in topological space. we generalized two known open sets.