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<p>In this paper, a new type of multiplicative inverse cube root functional equation involving radical arguments is introduced, and its stability analysis in quasi-<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43538_2025_514_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\beta \)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43538_2025_514_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">\((\beta, p)\)</EquationSource> </InlineEquation>-Banach spaces, and non-Archimedean fields is investigated using Hyers’ technique and fixed point technique. A suitable counter-example is discussed to show that the stability result may fail in critical case. In addition, we discuss a few applications of multiplicative inverse cube root mapping in other disciplines. The results of this study are compared at the end of this article.</p>

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Approximation of a two-dimensional inverse cube root mapping

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • Hemen Dutta,
  • B. V. Senthil Kumar

摘要

In this paper, a new type of multiplicative inverse cube root functional equation involving radical arguments is introduced, and its stability analysis in quasi- \(\beta \) , \((\beta, p)\) -Banach spaces, and non-Archimedean fields is investigated using Hyers’ technique and fixed point technique. A suitable counter-example is discussed to show that the stability result may fail in critical case. In addition, we discuss a few applications of multiplicative inverse cube root mapping in other disciplines. The results of this study are compared at the end of this article.