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<p>In this paper, we introduce common fixed point theorems through the context of inverse <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_808_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mi>k</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">$C_{k}$</EquationSource> </InlineEquation>-class functions on partially <i>E</i>-cone metric spaces. We extend the existing fixed point theorem and explore the existence and uniqueness of common fixed point theorem under some compatible conditions such as semi-compatibility, semi-compatibility of type (A), weak semi-compatibility, conditional semi-compatibility and <i>Sτ</i>–compatibility. Examples are given to bolster our findings.</p>

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On common fixed point via inverse \(C_{k}\)-class functions in partially E-cone metric spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月5日

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  • M. Solomon Meitei,
  • L. Shambhu Singh,
  • T. Chhatrajit Singh

摘要

In this paper, we introduce common fixed point theorems through the context of inverse C k $C_{k}$ -class functions on partially E-cone metric spaces. We extend the existing fixed point theorem and explore the existence and uniqueness of common fixed point theorem under some compatible conditions such as semi-compatibility, semi-compatibility of type (A), weak semi-compatibility, conditional semi-compatibility and Sτ–compatibility. Examples are given to bolster our findings.