Pairwise Generalized Semi Operation Continuous Mappings

Our aim of this paper is to continue the study of operations on generalized semi open sets in bitopological spaces which was initiated in 2024 by Khedr et al. [12]. New types of pairwise continuous and pairwise irresolute mappings between two bitopological spaces by the concept of operations on generalized semi open sets are introduced with some of their properties and the relation between them are studied. Firstly, we introduce two concepts of pairwise generalized semi operation continuous mappings between two bitopological spaces with some of their properties and study the relation between them. Secondly, we introduce two concepts of pairwise generalized semi operation irresolute mappings between two bitopological spaces with some of their properties and study the relation between them. Finally, we introduce the notions of pairwise generalized semi operation closed mappings and pairwise generalized semi operation open mappings between two bitopological spaces and study some results and theorems.