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<p>This study aims to address the problem of finding a common fixed point for multiple finite demicontractive mappings. We begin by examining the fundamental characteristics of the convex combination of these mappings. Then, we propose a new approach to establish the strong convergence of Thong and Hieu’s method, even under weak convergence criteria. Notably, we have made two significant improvements compared to previous research. Our numerical experiments confirm the effectiveness of our proposed convergence criteria, resulting in substantial enhancements in the method’s performance.</p>

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Improvement of convergence criteria for finding common fixed points of multiple finite demicontractive mappings

  • 期刊论文

  • 发表日期：

    2025年5月23日

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  • Fenghui Wang,
  • Hongtruong Pham

摘要

This study aims to address the problem of finding a common fixed point for multiple finite demicontractive mappings. We begin by examining the fundamental characteristics of the convex combination of these mappings. Then, we propose a new approach to establish the strong convergence of Thong and Hieu’s method, even under weak convergence criteria. Notably, we have made two significant improvements compared to previous research. Our numerical experiments confirm the effectiveness of our proposed convergence criteria, resulting in substantial enhancements in the method’s performance.