Scholarlink

<p>This study presents the <i>DT</i> iterative approach to approximate the fixed point of the generalized <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mu\)</EquationSource> </InlineEquation> nonexpansive mapping. Our approach was based on an iterative scheme in the context of uniformly convex Banach spaces. We established a weak convergence theorem by employing the Opial property of the underlying space. We present strong convergence and stability results for a new iterative approach to find the fixed point. We offer numerical and graphical results to support the effectiveness of our modified iteration scheme. We obtained an application of our result to solve split feasibility problems (SFP).</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 approximation for generalized \(\mu\)-Reich-Suzuki nonexpansive mappings with application

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月6日

查看全文
  • Tehreem Ishtiaq,
  • Afshan Batool,
  • Aftab Hussain,
  • Hamed Alsulami

摘要

This study presents the DT iterative approach to approximate the fixed point of the generalized \(\mu\) nonexpansive mapping. Our approach was based on an iterative scheme in the context of uniformly convex Banach spaces. We established a weak convergence theorem by employing the Opial property of the underlying space. We present strong convergence and stability results for a new iterative approach to find the fixed point. We offer numerical and graphical results to support the effectiveness of our modified iteration scheme. We obtained an application of our result to solve split feasibility problems (SFP).