Journals Information
Mathematics and Statistics Vol. 12(1), pp. 10 - 15
DOI: 10.13189/ms.2024.120102
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Some New Kind of Contra Continuous Functions in Nano Ideal Topological Spaces
S. Manicka Vinayagam 1,*, L. Meenakshi Sundaram 2, C. Devamanoharan 3
1 Research Scholar, Registration Number: 21112232091012, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamilnadu, Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamilnadu, India
2 Assistant Professor, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamilnadu, Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamilnadu, India
3 Associate Professor, Department of Mathematics, V.O. Chidambaram College, Thoothukudi-628008, Tamilnadu, Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamilnadu, India
ABSTRACT
The main objective of this paper is to introduce a new type of contra continuous function namely 
based on the concept of 
set and 
function in Nano Ideal Topological Spaces. The conceptualisation of contra continuous functions, which is an alteration of continuity that requires inverse images of open sets to be closed rather than open. We compare function with 
function and establish the independent relation between and 
functions by providing suitable counter examples. Fundamental properties of 
with 
and 
are investigated. We study the behaviour of 
with . We define 
space and describe its relation upon 
space and 
space. Characterizations of based on 
space, space and graph function namely 
are explored. As like the continuity, the 
preserves the property that it maps and 
sets to the same type of sets in co-domain. We defined 
space and described its nature over . Also we have introduced 
functions with an example and discussed its relation with and analysed its basic properties. Composition of functions under , and are examined.
KEYWORDS
, , ,
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. Manicka Vinayagam , L. Meenakshi Sundaram , C. Devamanoharan , "Some New Kind of Contra Continuous Functions in Nano Ideal Topological Spaces," Mathematics and Statistics, Vol. 12, No. 1, pp. 10 - 15, 2024. DOI: 10.13189/ms.2024.120102.
(b). APA Format:
S. Manicka Vinayagam , L. Meenakshi Sundaram , C. Devamanoharan (2024). Some New Kind of Contra Continuous Functions in Nano Ideal Topological Spaces. Mathematics and Statistics, 12(1), 10 - 15. DOI: 10.13189/ms.2024.120102.