New separation axioms in generalized bitopological spaces

Here we have studied on the ideas of $g_{\mu_i}$ and $\lambda_{\mu_i}$-closed sets with respect to ${\mu_j}(i,j=1,2,i\not=j)$ and pairwise $\lambda$-closed sets in a generalized bitopological space $(X,\mu_1, \mu_2)$. We have also investigated the properties on some new separation axioms namely pairwise $T_\frac{1}{4}$, pairwise $T_\frac{3}{8}$, pairwise $T_\frac{5}{8}$ and have established their mutual relations with pairwise $T_0$, pairwise $T_\frac{1}{2}$ and pairwise $T_1$. We have also shown that under certain conditions these axioms are equivalent.