Scholarlink

<p>We study fixed point problems for mappings that are not contractions in the classical sense. Using the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3359_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <mi>ω</mi> <mo>,</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(\omega, t_{0})$</EquationSource> </InlineEquation>-Taylor-Lagrange distance function and nonlinear control functions (subhomogeneous and superhomogeneous), we extend previous fixed point results such as those of Banach and Reich. Our method allows handling mappings with nonlinear behavior where earlier approaches fail. The main results include existence and uniqueness theorems supported by examples where classical theorems are not applicable. This work solves an open problem by Jleli and Samet and introduces a flexible framework combining differential structure and nonlinear control, offering new tools in fixed point theory.</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

New fixed point results for \((\omega,t_{0})\)-Taylor-Lagrange distance function

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月23日

查看全文
  • Hassen Aydi,
  • Sami Baraket,
  • Abdelbasset Felhi

摘要

We study fixed point problems for mappings that are not contractions in the classical sense. Using the ( ω , t 0 ) $(\omega, t_{0})$ -Taylor-Lagrange distance function and nonlinear control functions (subhomogeneous and superhomogeneous), we extend previous fixed point results such as those of Banach and Reich. Our method allows handling mappings with nonlinear behavior where earlier approaches fail. The main results include existence and uniqueness theorems supported by examples where classical theorems are not applicable. This work solves an open problem by Jleli and Samet and introduces a flexible framework combining differential structure and nonlinear control, offering new tools in fixed point theory.