@article{New Type of Strongly Continuous Functions in Topological Spaces via Î´-Î²-Open Sets_2015, place={Maryland, USA}, volume={8}, url={https://ejpam.com/index.php/ejpam/article/view/2055}, abstractNote={In this paper we introduce and investigate a new class of strong continuous functions called strongly Î¸-Î´-Î²-continuous functions by using two new strong forms of Î´-Î²-open sets called Î´-Î²-regular sets and Î´-Î²Î¸-open sets. This class is a generalization of both strongly Î¸-e-continuous functions and strongly Î¸-Î²-continuous functions. Severalnew characterizations and fundamental properties concerning strongly Î¸-Î´-Î²-continuous functions are obtained. Furthermore, the relationships between strongly Î¸-Î´-Î²-continuous functions and other well-known types of strong continuity are also discussed. Â Â Â }, number={2}, journal={European Journal of Pure and Applied Mathematics}, year={2015}, month={Apr.}, pages={185–200} }