On Topological Closed Graphs in the New Form

Authors

  • M. Lellis Thivagar
  • Nirmala Rebecca Paul

Keywords:

gα-open sets, gα-closed sets, gα-continuous and gα-irresolute.

Abstract

The aim of this paper is to introduce gα-closed graphs and strongly gα-closed graphs using gα -open sets and derive the relation between them.We also derive the basic properties of the strongly gα -closed graphs in terms of gα - continuous,weakly gα -continuous ,gα -irresolute, completely gα -continuous and almost gα -irresolute functions. As an application we introduce gα -Hausdorff spaces, strongly G-closed spaces and present some of their properties with gα -closed graphs.

Key words and phrases. gα-open sets, gα-closed sets, gα-continuous and gα-irresolute.

1991 Mathematics Subject Classification. 54C08, 54C10, 54D10

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Published

2025-05-18

How to Cite

M. Lellis Thivagar, & Nirmala Rebecca Paul. (2025). On Topological Closed Graphs in the New Form. Jordan Journal of Mathematics and Statistics, 5(4), 251–266. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1127

Issue

Vol. 5 No. 4 (2012)

Section

Articles