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<p>The purpose of this article is to put forth the idea of multivalued weak Suzuki Type <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1289_Article_IEq1.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\((\mathcal {\theta },{\hat{{\mathcal {R}}}})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>θ</mi> <mo>,</mo> <mover accent="true"> <mi mathvariant="script">R</mi> <mo stretchy="false">^</mo> </mover> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> contractions whose single valued version is also novel in literature. A fixed point result in the frame of metric space endowed with binary relation for such a mapping is established and some examples are provided. Data dependence of fixed points and existence of solution of matrix equations are also discussed as an application of our results.</p>

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Multivalued weak Suzuki type \((\mathcal {\theta },{\hat{{\mathcal {R}}}})\) contractions with applications

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Hira Iqbal,
  • Mujahid Abbas,
  • Hina Dilawer,
  • Vladimir Rakočević

摘要

The purpose of this article is to put forth the idea of multivalued weak Suzuki Type \((\mathcal {\theta },{\hat{{\mathcal {R}}}})\) ( θ , R ^ ) contractions whose single valued version is also novel in literature. A fixed point result in the frame of metric space endowed with binary relation for such a mapping is established and some examples are provided. Data dependence of fixed points and existence of solution of matrix equations are also discussed as an application of our results.