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<p>In this paper, we present a method for finding the zeros of the sum of a finite family of maximal monotone operators on real Hilbert spaces. Moreover, we will investigate the existence and uniqueness of these solutions within the context of this inverse strong monotonicity. Additionally, we will present a selection of algorithms designed for each specific case.</p>

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Zeros of the Sum of a Finite Family of Maximal Monotone Operators

  • 期刊论文

  • 发表日期：

    2025年4月24日

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  • Abdallah Beddani,
  • Ali Berrailes

摘要

In this paper, we present a method for finding the zeros of the sum of a finite family of maximal monotone operators on real Hilbert spaces. Moreover, we will investigate the existence and uniqueness of these solutions within the context of this inverse strong monotonicity. Additionally, we will present a selection of algorithms designed for each specific case.