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

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.