On Compact functions and Compactivity functions types

In this search we introduce a new types of the following functions :- {compactivity functions , semi compactivity functions , semi* compactivity functions and semi** compactivity functions } , also we study some kinds of continuous functions on (compact space and semi compact space) , and study the relation between { compactivity functions , semi compactivity functions , semi* compactivity functions , semi** compactivity functions } and { compact functions , semi compact functions , semi* compact functions , semi** compact functions } .