<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-information-and-optimization-sciences</journal-id>
      <journal-title-group>
        <journal-title>Journal of Information and Optimization Sciences</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0103</issn>
      <issn publication-format="print">0252-2667</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIOS-2180</article-id>
      <title-group>
        <article-title>Optimization bisection technique : By using quantum calculus approach</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <given-names>Inderjeet</given-names>
          </name>
          <aff>University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Dwarka, Delhi, 110078, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Bhardwaj</surname>
            <given-names>Rashmi</given-names>
          </name>
          <aff>University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Dwarka, Delhi, 110078, India</aff>
        </contrib>
      </contrib-group>
      <volume>47</volume>
      <issue>7</issue>
      <fpage>2651</fpage>
      <lpage>2657</lpage>
      <pub-date date-type="pub">
        <day>06</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>This paper presents a numerical simulation approach for solving nonlinear equations using a quantum Bisection Optimization technique. We propose an enhanced version of Bisection technique based on quantum calculus optimization. The results are analyzed for different values of quantum parameter, q, &amp;amp; rate of convergence is determined for every q ∈ (0, 1). Additionally, it is demonstrated that the modified method is always convergent and for each interval there exists q ∈ (0, 1) for which the exact solution to the problem and first approximation of the root coincides. This study highlights the potential of the modified Bisection optimization method as a valuable tool for simulating and solving complex nonlinear problems encountered in science and engineering applications.</p>
      </abstract>
      <kwd-group>
        <kwd>Numerical simulation</kwd>
        <kwd>Nonlinear optimization</kwd>
        <kwd>Bisection method</kwd>
        <kwd>Root-finding</kwd>
        <kwd>Convergence</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>
