Scholarlink

<p>In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_792_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi mathvariant="script">S</mi> </math></EquationSource> <EquationSource Format="TEX">$\mathcal{S}$</EquationSource> </InlineEquation>-metric spaces. Examples are provided to illustrate the findings. This work extends and generalizes numerous results from existing literature. Furthermore, the theoretical results are reinforced through an application to a fractional integral equation.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Integral-type contraction on orthogonal \(\mathcal{S}\)-metric spaces with common fixed-point results and applications to fractional integral equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月19日

查看全文
  • Benitha Wises Samuel,
  • Gunaseelan Mani,
  • Shoba Sree Ramulu,
  • Sabri T. M. Thabet,
  • Imed Kedim

摘要

In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S $\mathcal{S}$ -metric spaces. Examples are provided to illustrate the findings. This work extends and generalizes numerous results from existing literature. Furthermore, the theoretical results are reinforced through an application to a fractional integral equation.