Strongly θgs-Closed Functions and Strongly θgs-Homeomorphism

	International Journal of Mathematical Trends and Technology (IJMTT)
	© 2014 by IJMTT Journal
	Volume-8 Number-1
	Year of Publication : 2014
	Authors : Md. Hanif PAGE
	10.14445/22315373/IJMTT-V8P509

Md. Hanif PAGE. "Strongly θgs-Closed Functions and Strongly θgs-Homeomorphism", International Journal of Mathematical Trends and Technology (IJMTT). V8:64-67 April 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
The aim of this paper is to introduce and study of a new type of function called strongly θgs-closed function and new class of homeomorphism called strongly θgs-homeomorphism in topological spaces. Also, we obtain its characterizations and its basic properties.

References

[1] S.G. Crossely and S.K. Hildbrand, On semi-closure. Texas J. Sci, 22 (1971), 99-112.
[2] G. Di Maio, T.Noiri, On s-closed spaces, Indian J. Pure Appl. Math., 18 (1987), 226 –233.
[3] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math., Monthly, 70(1963), 36-41
[4] H. Maki, P. Sundaram and K. Balachandran, On generalized homeomorphisms in topological spaces, Bull. Fukuoka Univ. Ed. Part III, 40 (1991), 13-21.
[5] Govindappa Navalagi and Md. Hanif Page, On qgs-Neighbiurhoods, Indian Journal of Mathematics and Mathematical Sciences, Vol.4 No.1, (June2008), 21-31.
[6] Govindappa Navalagi and Md. Hanif Page, On qgs-Continuity and qgs-Irresoluteness, International Journal of Mathematics and Computer Sciences and Technology, Vol.1, No.1 January-June, pp.95-101.
[7] Govindappa Navalagi and Md. Hanif Page, On qgs-Open and qgs-Closed functions, Proycecciones Journal of Mathematics, Vol.28, (April-2009), 111-123.
[8] Md. Hanif Page, On Some more properties of gs-Neighbourhoods, American Journal of Applied Mathematics and Mathematical Analysis Vol.1.No.-2, 2012, 1-5.
[9] Md. Hanif Page, On Topological qgs-Quotient Functions, Journal of New Results in Science, No.5, (March-2014), 21-27.
[10] Md. Hanif Page, On Contra qgs-Continuous Functions, International Journal of Mathematics Trends and Technology, Volume 5, (Jan-2014), 16-21.
[11] Md. Hanif Page, On Quasi qgs-open and Quasi qgs-closed Functions, International Journal of Mathematical Archives, Volume 5, Issue-4 (Apr-2014)

Keywords
θgs-closed set, strongly θgs-closed function, strongly θgs-homeomorphism.