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<p>In the present work, we prove some common fixed point theorems for a pair of multivalued mappings via an auxiliary function, denoted as <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1301_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>. Our results are proved without employing neither the uniform convexity nor the compactness of the space. At the end of the paper, we study the convergence of an iterative process involving multivalued mappings. Under different conditions, our scheme converges faster than existing ones in the literature, which is always preferred in practice.</p>

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Novel common fixed point results for multivalued mappings and a new faster iterative scheme

  • 期刊论文

  • 发表日期：

    2025年4月7日

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  • Youssef Touail,
  • Amine Jaid,
  • Driss El Moutawakil

摘要

In the present work, we prove some common fixed point theorems for a pair of multivalued mappings via an auxiliary function, denoted as \(\beta \) β . Our results are proved without employing neither the uniform convexity nor the compactness of the space. At the end of the paper, we study the convergence of an iterative process involving multivalued mappings. Under different conditions, our scheme converges faster than existing ones in the literature, which is always preferred in practice.