On New Types of Weakly Nano Continuity

TL;DR

This paper introduces new types of weakly nano continuity using Na-open and NSa-open sets, explores their relationships with nano continuity, and provides theoretical results, properties, and counterexamples.

Contribution

It defines novel weakly nano continuity concepts and analyzes their relationships with existing nano continuity, expanding the theoretical framework.

Findings

Defined Na-continuous, Na*-continuous, Na**-continuous, NSa-continuous, NSa*-continuous, NSa**-continuous maps

Established relationships between weakly nano continuity and nano continuity

Proved theorems, properties, and provided counterexamples

Abstract

In this paper, we shall use the concepts of Na-open and NSa-open sets to define some new types of weakly nano continuity such as; Na-continuous, Na*-continuous, Na**-continuous, NSa-continuous, NSa*-continuous and NSa**-continuous maps. Also, we shall explain the relationships between these types of weakly nano continuity and the concepts of nano continuity. Moreover, we shall prove some theorems, properties, remarks and give counter examples about these new concepts of weakly nano continuity.