@article { author = {Mani, Parimala and Ozel, Cenap and Muthusamy, Karthika}, title = {A new type of open set and its applications}, journal = {Annals of Optimization Theory and Practice}, volume = {3}, number = {3}, pages = {135-154}, year = {2020}, publisher = {Firouzabad Institute of Higher Education}, issn = {2588-3666}, eissn = {2588-5995}, doi = {10.22121/aotp.2020.257115.1054}, abstract = {In this paper we introduce some new separation axioms by utilizing the notions of alphaomega-p-open sets and alphaomega-pre closure operator and the implication between the existing spaces are provided. Also as an application, we study some continuous functions and graph functions using this separation axioms. Basic theorems and properties are also investigated.}, keywords = {sober space,separation axioms,continuous function,graph function}, url = {https://aotp.fabad-ihe.ac.ir/article_120595.html}, eprint = {https://aotp.fabad-ihe.ac.ir/article_120595_fa415ec0bd117dc1b7f259a6cd825264.pdf} }