On New Types of Weakly Nano Open Functions

Abstract

In this paper, we must utilize the ideas of a-open and a-open sets to characterize some new types of weakly nano open functions such as; a-open functions, a*-open functions, a**-open functions, a-open functions, a*-open functions and a**-open functions. Also, we must explain the relationships between these types of weakly nano open functions and the concepts of nano open functions. Furthermore, we must prove some theorems, properties and remarks.

Mathematics Subject Classification (2010): 54A05, 54B05.

Keywords: a-open sets, a-open sets, a-open functions, a*-open functions, a**-open functions, a-open functions, a*-open functions and a**-open functions.