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<p>In this paper, we prove fixed point theorems for generalized contraction on complete <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1297_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^\star \)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mo>⋆</mo> </msup> </math></EquationSource> </InlineEquation>-algebra-valued partial <i>b</i>-metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by the obtained results. An instance to help our outcome is presented. We also explore some of applications of our key results.</p>

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Solution of a Fredholm integral equation on \(C^\star \)-algebra-valued partial b-metric spaces

  • 期刊论文

  • 发表日期：

    2025年4月7日

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  • Gunaseelan Mani,
  • Arul Joseph Gnanaprakasam,
  • Choonkil Park

摘要

In this paper, we prove fixed point theorems for generalized contraction on complete \(C^\star \) C ⋆ -algebra-valued partial b-metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by the obtained results. An instance to help our outcome is presented. We also explore some of applications of our key results.