New Structures of Continuous Functions

Abstract

Continuous functions are novel concepts in topology. Many topologists contributed to the theory of continuous functions in topology. The present authors continued the study on continuous functions by utilizing the concept of gpα-closed sets in topology and introduced the concepts of weakly, subweakly and almost continuous functions. Further, the properties of these functions are established.

Keywords

• Almost gpα-Continuous Function, gpα-Closed Set, gpα-Open Set, Sub-Weakly gpα-Continuous Function, Weakly gpα-Continuous Function