Functions Associated with $^*g \hat{\alpha}$-Closed Sets in Topological Spaces


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Authors

  • S. Pious Missier P.G. and Research Department of Mathematics, V.O. Chidambaram College (Affiliation of Manonmaiam Sundaranar University, Tirunelveli, Tamilnadu, India), Tuticorin, Tamil Nadu, India
  • K. M. Arifmohammed P.G. and Research Department of Mathematics, V.O. Chidambaram College (Affiliation of Manonmaiam Sundaranar University, Tirunelveli, Tamilnadu, India), Tuticorin, Tamil Nadu, India

Keywords:

$^*g \hat{\alpha}$-closed set, Continuous function, $^*g \hat{\alpha}$-continuous map, $^*g \hat{\alpha}$-irresolute map, strongly $^*g \hat{\alpha}$-continuous map, perfectly $^*g \hat{\alpha}$-continuous map

Abstract

In this paper, we introduce $^*g \hat{\alpha}$-continuous maps and study their relation with various generalized continuous maps. We also discuss certain properties of $^*g \hat{\alpha}$-continuous maps. We then introduce $^*g \hat{\alpha}$-irresolute maps, strongly $^*g \hat{\alpha}$-continuous maps and perfectly $^*g \hat{\alpha}$-continuous maps in topological spaces and some properties of these maps are discussed.

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Published

15-09-2018

How to Cite

S. Pious Missier, & K. M. Arifmohammed. (2018). Functions Associated with $^*g \hat{\alpha}$-Closed Sets in Topological Spaces. International Journal of Mathematics And Its Applications, 6(3), 273–283. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/380

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Section

Research Article