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<p>This paper aims to demonstrate some common fixed point results for a pair of self-mappings satisfying <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_787_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="94" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <msub> <mi mathvariant="fraktur">L</mi> <mi>b</mi> </msub> <mo>−</mo> <mi>ϑ</mi> <mo>−</mo> <mi>ψ</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(\mathfrak{L}_{b}-\vartheta -\psi )$</EquationSource> </InlineEquation>-contractivity condition through <i>b</i>-simulation function in the setup of <i>b</i>-metric spaces. The presented results generalize, complement, and improve some corresponding results in this direction. Furthermore, we draw some corollaries from our results and provide an example to show the applicability and validity of our findings. As an application of our result, we discuss the existence of a solution to a nonlinear integral equation.</p>

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Common fixed point results for \((\mathfrak{L}_{b}-\vartheta -\psi )\)-type contractive mappings with application

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月31日

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  • Albray Gebremariam Kalo,
  • Kidane Koyas Tola,
  • Haider Ebrahim Yesuf

摘要

This paper aims to demonstrate some common fixed point results for a pair of self-mappings satisfying ( L b − ϑ − ψ ) $(\mathfrak{L}_{b}-\vartheta -\psi )$ -contractivity condition through b-simulation function in the setup of b-metric spaces. The presented results generalize, complement, and improve some corresponding results in this direction. Furthermore, we draw some corollaries from our results and provide an example to show the applicability and validity of our findings. As an application of our result, we discuss the existence of a solution to a nonlinear integral equation.