<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-2548</article-id>
      <title-group>
        <article-title>Some results via pre-feebly-open sets in topological spaces</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Jubair</surname>
            <given-names>Waqas Battal</given-names>
          </name>
          <aff>Ministry of Education, Open Educational College, Baghdad, 10071, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Abdulhadi</surname>
            <given-names>Asaad Adil</given-names>
          </name>
          <aff>Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, 10071, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Hadi</surname>
            <given-names>Hadi Hassan</given-names>
          </name>
          <aff>Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, 10071, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ali</surname>
            <given-names>Haider Jebur</given-names>
          </name>
          <aff>Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, 10071, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>5-B</issue>
      <fpage>1559</fpage>
      <lpage>1565</lpage>
      <pub-date date-type="pub">
        <day>27</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>In this research, we introduce a recent type of open set, called a pre-feebly-open set, obtained by accrediting the feebly open set. We have defined and studied this type and specified several of its characteristics. We found some features and connections with other sets, obtained results that explain them, and symbolized them with the symbol pre-feebly-open. Also, we introduced and defined the notions of pre-f-closure and pre-f-interior. As well as offer the properties, prove them, and others.</p>
      </abstract>
      <kwd-group>
        <kwd>Pre-feebly open sets</kwd>
        <kwd>Topological spaces</kwd>
        <kwd>Generalized open sets</kwd>
        <kwd>Feeble continuity</kwd>
        <kwd>Separation axioms</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
