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<p>In this paper, under the monotonicity of pairs of operators, we propose some generalized proximal point algorithms to solve non-monotone inclusions using warped and transformed resolvents. We establish weak, strong, and linear convergence of the proposed algorithms under mild conditions.</p>

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Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • Ba Khiet Le,
  • Minh N. Dao,
  • Michel A. Théra

摘要

In this paper, under the monotonicity of pairs of operators, we propose some generalized proximal point algorithms to solve non-monotone inclusions using warped and transformed resolvents. We establish weak, strong, and linear convergence of the proposed algorithms under mild conditions.