On new class of continuous functions in nano topological spaces
Downloads
DOI:
https://doi.org/10.26637/MJM0602/0014Abstract
The aim of this paper is to define and study the new class of functions, namely nano $g^*$-continuous functions, nano $g^* s$-continuous functions in nano topological spaces and study some of their properties. Also we investigate the relationships between the other existing continuous functions. Further, we have given an appropriate to understand the abstract concept clearly.
Keywords:
nano $g^∗$ -closed sets, nano $g^∗$s-closed sets, nano $g^∗$ -continuous, nano $g^∗$s-continuousMathematics Subject Classification:
Mathematics- Pages: 385-389
- Date Published: 01-04-2018
- Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)
P. Bhattacharya and B.K. Lahiri, Semi generalized closed sets in topology, Indian Journal of Pure Applied Mathematics, Vol.29, (1987),375-382.
K. Bhuvaneshwari and K. Mythili Gnanapriya, Nano generalized closed sets, International Journal of Scientific and Research Publications, 14(5), (2014), 01-03.
K. Bhuvaneshwari and K. Ezhilarasi, Nano semigeneralized and nano generalized semi-closed sets, International Journal of Mathematics and Computer Research, $4(3),(2014), 117-124$.
R. Devi, H. Maki and K. Balachandran, Semi-generalized closed maps and generalized-semi closed maps, Memoirs of the Faculty of Science Kochi University Series A Mathematics, Vol.14, (1993), 41-54.
M. Lellis Thivagar and C. Richard, On nano forms of weakly open sets, International Journal of Mathematics and Statistics Invenction, (2013), 31-37.
M. Lellis Thivagar and C. Richard, On nano continuity, Mathematical Theory and Modeling, No.7,(2013), 32-37.
N. Levine, Generalized closed sets in topological spaces, Rendiconti del Circolo Matematico di Palermo, Vol. 19, (1970), 89-96.
S. Sekar and S. Loganayagi, On generalized $b$ star-closed set in topological spaces, Malaya Journal of Mathematik, 5(2). (2017), 401-406.
S. Sekar and R. Brindha, Almost contra pre generalized $b$-continuous functions in topological spaces, Malaya Journal of Mathematik, 5(2). (2017), 194-201.
V. Rajendran, P. Sathishmohan and K. Indirani, On nano generalized star closed sets, International Journal of Applied Research, 1(9),(2015), 04-07.
MKRS. Veerakumar, Between closed sets and g-closed sets, Memoirs of the Faculty of Science Kochi University Series A Mathematics, Vol.21, (2000), 01-19.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.