- Fundamentals of Contemporary Mathematical Sciences
- Volume:5 Issue:2
- On Some Functions Related to e*-θ-open Sets
On Some Functions Related to e*-θ-open Sets
Authors : Burcu Sünbül Ayhan
Pages : 72-82
Doi:10.54974/fcmathsci.1353956
View : 36 | Download : 40
Publication Date : 2024-07-31
Article Type : Research Paper
Abstract :In this study, we defined the concept of quasi $e^*$-$\\theta$-closed sets by means of $e^*$-$\\theta$-open sets. Depending on this concept, we introduced approximately $e^{\\ast}\\theta$-open functions and investigated some of its basic properties. Also, we defined and studied contra pre $e^{\\ast}\\theta$-open functions, which are stronger than the approximately $e^{\\ast}\\theta$-open functions. Moreover, we characterized the class of $e^*\\theta$-$T_\\frac {1}{2}$ spaces.Keywords : e^ \\theta open functions, quasi e^ \\theta closed sets, approximately e^ \\theta open functions, contra pre e^ \\ast \\theta open functions, e^ \\theta T \\frac 1 2 spaces