Pairwise Generalized Semi Operation Continuous Mappings | ||
| Assiut University Journal of Multidisciplinary Scientific Research | ||
| Volume 54, Issue 3, September 2025, Pages 479-493 PDF (528.67 K) | ||
| Document Type: Novel Research Articles | ||
| DOI: 10.21608/aunj.2025.380439.1129 | ||
| Authors | ||
| Eman Abdelgaber* 1; Fathi Khedr2; Mohammed Abd-Allah2 | ||
| 1Mathematics Departement, Faculty of Science, Minia University, Egypt | ||
| 2Department of Mathematics, Faculty of Science, Assuit University, Assuit, Egypt | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Operation; bitopological space; generalized semi open sets; pairwise continuous mappings; pairwise irresolute mappings | ||
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