Mathematics and Statistics Vol. 12(1), pp. 10 - 15
DOI: 10.13189/ms.2024.120102
Reprint (PDF) (203Kb)

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.