A New Generalized Continuity by Using Generalized-Closure Operator


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Authors

  • Purushottam Jha Department of Mathematics, Government P.G.College, Narayanpur, Chhattisgarh, India. Department of Mathematics, Government J.Y.Chhattisgarh College, Raipur, Chhattisgarh, India
  • Manisha Shrivastava Department of Mathematics, Government P.G.College, Narayanpur, Chhattisgarh, India. Department of Mathematics, Government J.Y.Chhattisgarh College, Raipur, Chhattisgarh, India

Keywords:

$_{N}D_{\beta}$--closed, $_{N}D_{\beta}$--neighborhood, $_{N}D_{\beta}$--limit point, $_{N}D_{\beta}$--continuous, $_{N}D_{\beta}$--irresolute

Abstract

We introduce a new class of generalized closed sets namely, $_{N}D_{\beta}$--closed sets, which is weaker than g--closed(generalized--closed) \cite{lev70}, $semi^{\ast}$--closed sets \cite{rob12}, $pre^{\ast}$--closed sets \cite{sel12} and $D_{\alpha}$--closed sets \cite{say16} in topological spaces. Moreover, we introduce $_{N}D_{\beta}$--continuous and $_{N}D_{\beta}$--irresolute functions and study its fundamental properties.

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Published

20-01-2018

How to Cite

Purushottam Jha, & Manisha Shrivastava. (2018). A New Generalized Continuity by Using Generalized-Closure Operator. International Journal of Mathematics And Its Applications, 6(1 - B), 313–324. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/927

Issue

Vol. 6 No. 1 - B (2018)

Section

Research Article

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.