### $\omega$-$\alpha$-open sets $\omega$-$\alpha$-continuity in bitopological spaces

Document Type : Research Paper

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The purposes of this article are to introduce and characterize the notions of $(i,j)$-$\omega$-$\alpha$-open sets in bitopological spaces. Besides, It introduces and studies the concepts of $(i,j)$-$\omega$-$\alpha$-continuous functions. Furthermore, $(i,j)$-$\omega$-$\alpha$-connected and $(i,j)$-$\omega$-$\alpha$-set-connected functions are defined in bitopological spaces and some of their properties are studied.