A New Class on Ng^# α-Quotient Mappings in Nano Topological Space

Abstract

The primary intend of this article is to define a new class of mappings called Ng^# α-quotient mappings in nano topological space. The intention is to analyze characterizations and inter relationship of Ng^# α-quotient mappings with nano T_g#α-space, Ng^# α-continuous, Ng^# α-open, Ng^# α-irresolute, Ng^# α-homeomorphism and nano α-quotient mapping. Also several properties of strongly Ng^# α-quotient mapping are derived and the relationships among them are illustrated with the help of examples. Their interesting composition with strongly Ng^# α-irresolute are established. The concept of Ng^# α-quotient mapping is explored and composition of mappings under strongly Ng^# α-quotient mapping and Ng^# α-quotient mapping are discussed. Furthermore, to emphasize Ng^# α-quotient mapping a few examples are considered and derived in detail.