<?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-2597</article-id>
      <title-group>
        <article-title>A fixed-point algorithm of e-enriched non-expansive mappings with an application</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Abbas</surname>
            <given-names>Rana Fadhil</given-names>
          </name>
          <aff>Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Abed</surname>
            <given-names>Salwa Salman</given-names>
          </name>
          <aff>Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>5-A</issue>
      <fpage>1389</fpage>
      <lpage>1398</lpage>
      <pub-date date-type="pub">
        <day>27</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>This work introduces a four-step iterative scheme for approximating fixed points of E-enriched nonexpansive mappings in uniformly convex Banach spaces. Theoretical analysis establishes a strong convergence under suitable assumptions on the mapping or the underlying space. To demonstrate its practical relevance, the scheme is applied to an image restoration problem formulated within a fixed-point framework. The numerical results show stable reconstructions with enhanced PSNR and SNR values, indicating superior performance in handling inverse imaging tasks. These findings underline both the theoretical strength and the computational efficiency of the proposed approach.</p>
      </abstract>
      <kwd-group>
        <kwd>Fixed point theory</kwd>
        <kwd>E-enriched nonexpansive mappings</kwd>
        <kwd>Iterative algorithm</kwd>
        <kwd>Weak convergence</kwd>
        <kwd>Strong convergence</kwd>
        <kwd>Uniformly convex Banach spaces</kwd>
        <kwd>Image restoration</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>
