<p>The present study introduces <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_803_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mi>ζ</mi> <mo>,</mo> <mi>η</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(\zeta , \eta )$</EquationSource> </InlineEquation>-weakly cyclic generalized contraction mappings in the context of b-metric spaces and investigates results of fixed-point for it. Our findings extend and generalize a large number of relevant fixed-point results from the current literature. Examples are provided to support the validity of our findings. Finally, we apply our findings to demonstrate the existence and uniqueness of a solution for a non-linear Fredholm 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

Fixed point results for \((\zeta , \eta )\)-weakly cyclic generalized contraction mappings in b-metric spaces

  • Nigussa Lemessa,
  • Kidane Koyas

摘要

The present study introduces ( ζ , η ) $(\zeta , \eta )$ -weakly cyclic generalized contraction mappings in the context of b-metric spaces and investigates results of fixed-point for it. Our findings extend and generalize a large number of relevant fixed-point results from the current literature. Examples are provided to support the validity of our findings. Finally, we apply our findings to demonstrate the existence and uniqueness of a solution for a non-linear Fredholm integral equation.