Characterization of $ j$-open sets in minimal structure spaces

M. Deepa; S.S. Surekha

doi:10.26637/MJM0803/0076

Abstract

The aim of this paper is to introduce the notion of $\mathrm{m}-\mathrm{j}$ open sets in minimal structure spaces together with its corresponding interior and closure operators. Furthermore, we investigated the basic properties of the sets and studied their relationship with other existing sets. Moreover, the minimal structure properties of $\mathrm{j}$-border, $\mathrm{j}$-frontier and $\mathrm{j}$-exterior of the sets have been discussed.

Keywords:

$m-j$ open, $m-j$ closed , $m-j$ border , $m-j$ frontier and $m-j$ exterior

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

M. Deepa Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641004, Tamil Nadu, India.
S.S. Surekha Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641004, Tamil Nadu, India. https://orcid.org/0000-0002-6353-606X

Pages: 1171-1174
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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