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<p>In this work, the revised conceptions of single-valued and set-valued Meir-Keeler-type contraction are defined, together with fixed point findings for such contractions in fuzzy metric space (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13661_2025_2065_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi mathvariant="script">FMS</mi> </math></EquationSource> <EquationSource Format="TEX">$\mathcal{FMS}$</EquationSource> </InlineEquation>). Extensive examples are provided to validate the outcomes. The findings demonstrated in this work generalize a number of intriguing findings in existing metric spaces. Our novel thoughts and results are also applied to the folding of an elastic band restrained at both ends by taking into account the two-point boundary issue involving differential equations of fourth order.</p>

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Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月28日

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  • Vishal Gupta,
  • Pooja Dhawan,
  • Rahul Shukla

摘要

In this work, the revised conceptions of single-valued and set-valued Meir-Keeler-type contraction are defined, together with fixed point findings for such contractions in fuzzy metric space ( FMS $\mathcal{FMS}$ ). Extensive examples are provided to validate the outcomes. The findings demonstrated in this work generalize a number of intriguing findings in existing metric spaces. Our novel thoughts and results are also applied to the folding of an elastic band restrained at both ends by taking into account the two-point boundary issue involving differential equations of fourth order.