Nano δβ-Open Sets in Nano Tritopological Spaces | ||
| Scientific Journal of Faculty of Science, Menoufia University | ||
| Volume 28, Issue 1, June 2024, Pages 27-37 PDF (448.54 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/sjfsmu.2024.357481 | ||
| Authors | ||
| Ashraf S. Nawar; Hamdy M. Atallaha* | ||
| Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Egypt | ||
| Abstract | ||
| This paper mainly concerns with generalizing nano near open sets in nano tritopological spaces by introducing new type of sets called nano ππ 123πΏπ½ open sets. These sets are stronger than any type of the other nano near open sets. The main properties and the relationships among these sets are discussed. In addition, the various forms of nano ππ 123πΏπ½-open sets corresponding to different cases of approximations are investigated. Moreover, the notion of nano ππ 123πΏπ½-continuous function is presented and compared to the other types of nano continuous functions. | ||
| Keywords | ||
| nano πΏπ½ open; nano πΏπ½ interior; nano πΏπ½ closure; nano πΏπ½ continuous; upper and lower approximation | ||
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