On Nano Generalized α^(**) Continuous and Nano Generalized α^(**) Irresolute Mappings

Abstract

The purpose of this study is to present nano generalized - continuous functions and nano generalized - irresolute mappings in Nano Topological Spaces. We introduce the terminologies for the sets, Nano Supremum and Nano Infimum. The fundamental properties of these functions with nano interior, nano closure, nano supremum, and nano infimum are investigated. The terms nano generalized - open mapping, nano generalized -closed mapping and nano generalized - homeomorphism are also defined and their associations with other continuous functions are investigated.

Keywords

• nano supremum, nano infimum, ngα^(**)- continuous, ngα^(**)- irresolute, ngα^(**)- homeomorphism