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<p>Fixed point theorems for nonexpansive mappings are extended to double sequences using four-dimensional matrix transforms. Asymptotic dominance is introduced to unify iteration schemes, including a Mann iteration for Pringsheim convergence, and asymptotic regularity is established under conditions weaker than RH-regularity.</p>

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Mann iteration and fixed point theorems for multidimensional matrix transforms with asymptotic properties

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月9日

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  • Sami M. Hamid,
  • Richard F. Patterson

摘要

Fixed point theorems for nonexpansive mappings are extended to double sequences using four-dimensional matrix transforms. Asymptotic dominance is introduced to unify iteration schemes, including a Mann iteration for Pringsheim convergence, and asymptotic regularity is established under conditions weaker than RH-regularity.