On Weak and Strong Forms of Contra $\delta$-Precontinuity

In this paper we consider new weak and stronger forms of contra $\delta$-precontinuous via the concept of g$\delta$p-closed sets which we call ap-$\delta$-precontinuous, and perfectly $\delta$-precontinuous maps. Moreover, we use ap-$\delta$-precontinuous to obtain a characterization of $\delta$-preT$_{1/2}$ spaces. Also we introduce the class of functions which is called completely $\delta$-precontinuous maps and we obtain some their basic properties.