TY - JOUR
TI - New Type of Strongly Continuous Functions in Topological Spaces via Î´-Î²-Open Sets
PY - 2015/04/30
Y2 - 2024/06/16
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 8
IS - 2
LA - en
UR - https://ejpam.com/index.php/ejpam/article/view/2055
SP - 185-200
AB - 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
ER -